How to find Base, Emitter, and Collector Voltage of a Circuit Demonstrating Miller Effect
Well, we have the following circuit:







simulate this circuit &ndash; Schematic created using CircuitLab

When analyzing a transistor we need to use the following relations:


$$\text{I}_\text{E}=\text{I}_\text{B}+\text{I}_\text{C}\tag1$$
Transistor gain \$\beta\$:
$$\beta=\frac{\text{I}_\text{C}}{\text{I}_\text{B}}\tag2$$
Emitter voltage:
$$\text{V}_\text{BE}=\text{V}_2-\text{V}_3\tag3$$


When we use and apply KCL, we can write the following set of equations:

$$
\begin{cases}
\text{I}_3=\text{I}_1+\text{I}_2\\
\\
0=\text{I}_2+\text{I}_4+\text{I}_9\\
\\
\text{I}_5=\text{I}_9+\text{I}_{10}\\
\\
\text{I}_\text{E}=\text{I}_4+\text{I}_5\\
\\
\text{I}_1+\text{I}_8=\text{I}_3+\text{I}_{11}\\
\\
\text{I}_{11}=\text{I}_\text{B}+\text{I}_6\\
\\
\text{I}_\text{C}=\text{I}_6+\text{I}_7\\
\\
\text{I}_{10}=\text{I}_7+\text{I}_8
\end{cases}\tag4
$$

When we use and apply Ohm's law, we can write the following set of equations:

$$
\begin{cases}
\text{I}_1=\frac{\text{V}_\text{x}-\text{V}_1}{\text{R}_1}\\
\\
\text{I}_1=\frac{\text{V}_1-\text{V}_2}{\text{R}_2}\\
\\
\text{I}_3=\frac{\text{V}_2}{\text{R}_3}\\
\\
\text{I}_4=\frac{\text{V}_3}{\text{R}_4}\\
\\
\text{I}_5=\frac{\text{V}_3}{\text{R}_5}\\
\\
\text{I}_6=\frac{\text{V}_2-\text{V}_4}{\text{R}_6}\\
\\
\text{I}_7=\frac{\text{V}_\text{y}-\text{V}_4}{\text{R}_7}\\
\\
\text{I}_8=\frac{\text{V}_\text{y}-\text{V}_2}{\text{R}_8}
\end{cases}\tag5
$$

Now, in your circuit we have:


$$\text{R}_2=\frac{1}{\text{sC}_1}\tag6$$
$$\text{R}_5=\frac{1}{\text{sC}_2}\tag7$$
$$\text{R}_6=\frac{1}{\text{sC}_3}\tag8$$


Because we use the 'complex' s-domain we also can write:


Assuming a constant DC-voltage for \$\text{V}_\text{y}\$:
$$\text{V}_\text{y}=\mathcal{L}_t\left[\hat{\text{v}}_\text{cc}\right]_{\left(\text{s}\right)}=\frac{\hat{\text{v}}_\text{cc}}{\text{s}}\tag9$$
$$\text{V}_\text{x}=\mathcal{L}_t\left[\hat{\text{v}}_\text{in}\cos\left(\omega t\right)\right]_{\left(\text{s}\right)}=\frac{\hat{\text{v}}_\text{in}\text{s}}{\text{s}^2+\omega^2}\tag{10}$$


Now, I used Mathematica to solve this (big) problem. The used code is:

FullSimplify[
 Solve[{IE == IB + IC, \[Beta] == IC/IB, VBE == V2 - V3, 
   I3 == I1 + I2, 0 == I2 + I4 + I9, I5 == I9 + I10, IE == I4 + I5, 
   I1 + I8 == I3 + I11, I11 == IB + I6, IC == I6 + I7, I10 == I7 + I8,
    I1 == (((Vin*s)/(s^2 + \[Omega]^2)) - V1)/R1, 
   I1 == (V1 - V2)/((1/(s*C1))), I3 == V2/R3, I4 == V3/R4, 
   I5 == V3/((1/(s*C2))), I6 == (V2 - V4)/((1/(s*C3))), 
   I7 == ((Vcc/s) - V4)/R7, I8 == ((Vcc/s) - V2)/R8}, {IB, IC, IE, I1,
    I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, V1, V2, V3, V4}]]


Using your values in my code I got:

FullSimplify[
 Solve[{IE == IB + IC, \[Beta] == IC/IB, VBE == V2 - V3, 
   I3 == I1 + I2, 0 == I2 + I4 + I9, I5 == I9 + I10, IE == I4 + I5, 
   I1 + I8 == I3 + I11, I11 == IB + I6, IC == I6 + I7, I10 == I7 + I8,
    I1 == (((Vin*s)/(s^2 + \[Omega]^2)) - V1)/10000, 
   I1 == (V1 - V2)/((1/(s*((1/10)*10^(-6))))), I3 == V2/20000, 
   I4 == V3/1000, I5 == V3/((1/(s*((1/10)*10^(-6))))), 
   I6 == (V2 - V4)/((1/(s*((10)*10^(-12))))), 
   I7 == ((Vcc/s) - V4)/7500, I8 == ((Vcc/s) - V2)/150000}, {IB, IC, 
   IE, I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, V1, V2, V3, V4}]]


Using that code, it gave me:

{{IB -&gt; ((10000 + 
        s) (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(100000 s (9 s^3 (1 + \[Beta]) \
+ 4000000000000 (317 + 17 \[Beta]) + 300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  IC -&gt; ((10000 + 
        s) \[Beta] (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(100000 s (9 s^3 (1 + \[Beta]) \
+ 4000000000000 (317 + 17 \[Beta]) + 300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  IE -&gt; ((10000 + 
        s) (1 + \[Beta]) (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(100000 s (9 s^3 (1 + \[Beta]) \
+ 4000000000000 (317 + 17 \[Beta]) + 300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I1 -&gt; -((s^2 (9 s^3 VBE (1 + \[Beta]) + 
           3 s^2 (-3 Vin (1 + \[Beta]) + 
              10000 VBE (4003 + 3 \[Beta])) + 
           4000000000 (2 Vcc (1 + \[Beta]) - 
              Vin (317 + 17 \[Beta])) + 
           300 s (4000000000 VBE + 42 Vcc (1 + \[Beta]) - 
              Vin (400357 + 
                 357 \[Beta]))) + (9 s^3 VBE (1 + \[Beta]) + 
           8000000000 Vcc (1 + \[Beta]) + 
           30000 s^2 VBE (4003 + 3 \[Beta]) + 
           600 s (2000000000 VBE + 
              21 Vcc (1 + \[Beta]))) \[Omega]^2)/(10000 (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
          300 s^2 (400417 + 417 \[Beta]) + 
          100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2))),
   I2 -&gt; (s^2 (27 s^4 VBE (1 + \[Beta]) + 
         8000000000000 Vcc (1 + \[Beta]) + 
         200000 s (6000000000 VBE + 120063 Vcc (1 + \[Beta]) - 
            80000 Vin (151 + \[Beta])) + 
         18 s^3 (-Vin (1 + \[Beta]) + 500 VBE (40031 + 31 \[Beta])) + 
         600 s^2 (63 Vcc (1 + \[Beta]) + 
            50000 VBE (124003 + 3 \[Beta]) - 
            2 Vin (200171 + 171 \[Beta]))) + (1000 + 
         3 s) (9 s^3 VBE (1 + \[Beta]) + 
         8000000000 Vcc (1 + \[Beta]) + 
         30000 s^2 VBE (4003 + 3 \[Beta]) + 
         600 s (2000000000 VBE + 
            21 Vcc (1 + \[Beta]))) \[Omega]^2)/(20000 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I3 -&gt; (s^2 (9 s^4 VBE (1 + \[Beta]) + 
         8000000000000 Vcc (1 + \[Beta]) + 
         3000 s^3 VBE (40033 + 33 \[Beta]) + 
         200000 s (6000000000 VBE + (40063 Vcc + 
               600000 Vin) (1 + \[Beta])) + 
         600 s^2 (3 (7 Vcc + 5 Vin) (1 + \[Beta]) + 
            50000 VBE (44003 + 3 \[Beta]))) + (1000 + 
         s) (9 s^3 VBE (1 + \[Beta]) + 8000000000 Vcc (1 + \[Beta]) + 
         30000 s^2 VBE (4003 + 3 \[Beta]) + 
         600 s (2000000000 VBE + 
            21 Vcc (1 + \[Beta]))) \[Omega]^2)/(20000 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I4 -&gt; ((1 + \[Beta]) (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(10 s (9 s^3 (1 + \[Beta]) + 
        4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I5 -&gt; ((1 + \[Beta]) (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(100000 (9 s^3 (1 + \[Beta]) + 
        4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I6 -&gt; (3 s^2 (-420000000 Vcc + 
         40 s ((1000 + s) (10000 + s) VBE - (12500 + s) Vcc + 
            1000 Vin) + 
         s (-(10000 + s) (17000 + 47 s) VBE + 2 (-19000 + s) Vcc + 
            10 (34000 + 3 s) Vin) \[Beta]) - 
      3 (-40 s (1000 + s) (10000 + s) VBE + 
         40 (10500000 + s (12500 + s)) Vcc + 
         s ((10000 + s) (17000 + 47 s) VBE - 
            2 (-19000 + 
               s) Vcc) \[Beta]) \[Omega]^2)/(100000 (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I7 -&gt; (s^2 (20000000000000 Vcc \[Beta] - 3 s^4 VBE (1 + \[Beta]) + 
         500000 s (-200000 (1700 VBE - 3 Vin) \[Beta] + 
            Vcc (63 + 44063 \[Beta])) + 
         s^3 (3 Vcc (1 + \[Beta]) - 1000 VBE (33 + 47033 \[Beta])) - 
         500 s^2 (6 Vin (1 - 9999 \[Beta]) - 
            25 Vcc (3 + 163 \[Beta]) + 
            20000 VBE (3 + 
               48703 \[Beta]))) + (20000000000000 Vcc \[Beta] - 
         3 s^4 VBE (1 + \[Beta]) + 
         500000 s (-340000000 VBE \[Beta] + 
            Vcc (63 + 44063 \[Beta])) + 
         s^3 (3 Vcc (1 + \[Beta]) - 1000 VBE (33 + 47033 \[Beta])) - 
         12500 s^2 (-Vcc (3 + 163 \[Beta]) + 
            800 VBE (3 + 
               48703 \[Beta]))) \[Omega]^2)/(2500 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I8 -&gt; (s^2 (-(40000000 + 3 s) (-10500000 Vcc + 
            s ((1000 + s) (10000 + s) VBE - (12500 + s) Vcc + 
               1000 Vin)) + (20000000000000 Vcc + 
            s (500000 (120063 Vcc - 80000 Vin) - 
               3 s ((1000 + s) (10000 + s) VBE - (12500 + s) Vcc + 
                  1000 Vin))) \[Beta]) + (-(40000000 + 
             3 s) (s (1000 + s) (10000 + s) VBE - (10500000 + 
               s (12500 + s)) Vcc) + (-3 s^2 (1000 + s) (10000 + 
               s) VBE + (20000000000000 + 
               3 s (20010500000 + 
                  s (12500 + 
                    s))) Vcc) \[Beta]) \[Omega]^2)/(50000 s (9 s^3 (1 \
+ \[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I9 -&gt; (s^2 (-27 s^4 VBE (1 + \[Beta]) - 
         168000000000000 Vcc (1 + \[Beta]) + 
         18 s^3 (Vin + Vin \[Beta] + 500 VBE (-39973 + 27 \[Beta])) + 
         200000 s (-921323 Vcc (1 + \[Beta]) + 
            400000000 VBE (2 + 17 \[Beta]) - 
            80000 Vin (-1 + 149 \[Beta])) + 
         200 s^2 (-1449 Vcc (1 + \[Beta]) + 
            6 Vin (200021 + 21 \[Beta]) + 
            20000 VBE (10063 + 
               940063 \[Beta]))) - (27 s^4 VBE (1 + \[Beta]) + 
         168000000000000 Vcc (1 + \[Beta]) - 
         9000 s^3 VBE (-39973 + 27 \[Beta]) - 
         200000 s (-921323 Vcc (1 + \[Beta]) + 
            400000000 VBE (2 + 17 \[Beta])) - 
         200 s^2 (-1449 Vcc (1 + \[Beta]) + 
            20000 VBE (10063 + 
               940063 \[Beta]))) \[Omega]^2)/(20000 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I10 -&gt; (s^2 (-(40000000 + 63 s) (-10500000 Vcc + 
            s ((1000 + s) (10000 + s) VBE - (12500 + s) Vcc + 
               1000 Vin)) + (420000000000000 Vcc + 
            s (-(10000 + s) (340000000000 + 
                  s (940063000 + 63 s)) VBE + (500661500000 + 
                  s (40787500 + 63 s)) Vcc + 
               1000 (5960000000 + 
                  599937 s) Vin)) \[Beta]) + (-(40000000 + 
             63 s) (s (1000 + s) (10000 + s) VBE - (10500000 + 
               s (12500 + s)) Vcc) + (-s (10000 + s) (340000000000 + 
               s (940063000 + 63 s)) VBE + (40000000 + 
               63 s) (10500000 + 
               s (12500 + 
                  s)) Vcc) \[Beta]) \[Omega]^2)/(50000 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  I11 -&gt; (s^2 (800000000000000 Vcc + 
         s (80000000000 (11 Vcc + 150 Vin) - (10000 + s) (17000 + 
               47 s) VBE (40000000 + 3 s (1 + \[Beta])) + 
            2 s (1000 Vcc (39943 - 57 \[Beta]) + 
               3 s Vcc (1 + \[Beta]) + 45 s Vin (1 + \[Beta]) + 
               30000 Vin (20017 + 
                  17 \[Beta])))) - (-800000000000000 Vcc + 
         s (10000 + s) (17000 + 47 s) VBE (40000000 + 
            3 s (1 + \[Beta])) - 
         2 s Vcc (440000000000 + 1000 s (39943 - 57 \[Beta]) + 
            3 s^2 (1 + \[Beta]))) \[Omega]^2)/(100000 s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  V1 -&gt; (9 s^5 VBE (1 + \[Beta]) + 30000 s^4 VBE (4003 + 3 \[Beta]) + 
      8000000000 Vcc (1 + \[Beta]) \[Omega]^2 + 
      10000 s^2 (800000 Vcc (1 + \[Beta]) + 
         30 Vin (800357 + 400357 \[Beta]) + 
         3 VBE (4003 + 3 \[Beta]) \[Omega]^2) + 
      200 s (20000000000 Vin (317 + 17 \[Beta]) + 
         3 (2000000000 VBE + 21 Vcc (1 + \[Beta])) \[Omega]^2) + 
      3 s^3 (600 (7 Vcc + 10 Vin) (1 + \[Beta]) + 
         VBE (400000000000 + 
            3 (1 + \[Beta]) \[Omega]^2)))/((9 s^3 (1 + \[Beta]) + 
        4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  V2 -&gt; (s^2 (9 s^4 VBE (1 + \[Beta]) + 
         8000000000000 Vcc (1 + \[Beta]) + 
         3000 s^3 VBE (40033 + 33 \[Beta]) + 
         200000 s (6000000000 VBE + (40063 Vcc + 
               600000 Vin) (1 + \[Beta])) + 
         600 s^2 (3 (7 Vcc + 5 Vin) (1 + \[Beta]) + 
            50000 VBE (44003 + 3 \[Beta]))) + (1000 + 
         s) (9 s^3 VBE (1 + \[Beta]) + 8000000000 Vcc (1 + \[Beta]) + 
         30000 s^2 VBE (4003 + 3 \[Beta]) + 
         600 s (2000000000 VBE + 
            21 Vcc (1 + \[Beta]))) \[Omega]^2)/(s (9 s^3 (1 + \
\[Beta]) + 4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  V3 -&gt; (100 (1 + \[Beta]) (s^2 (80000000000 Vcc + 
           s (-(680000000000 + s (1880171000 + 261 s)) VBE + 
              2 (40063000 + 63 s) Vcc + 
              30 (40000000 + 3 s) Vin)) + (-s (680000000000 + 
              s (1880171000 + 261 s)) VBE + 
           2 (1000 + s) (40000000 + 
              63 s) Vcc) \[Omega]^2))/(s (9 s^3 (1 + \[Beta]) + 
        4000000000000 (317 + 17 \[Beta]) + 
        300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2)), 
  V4 -&gt; (s^2 (9 s^4 VBE (1 + \[Beta]) + 
         4000000000000 Vcc (317 + 2 \[Beta]) + 
         3000 s^3 VBE (33 + 47033 \[Beta]) + 
         600 s^2 (15 Vin (1 - 9999 \[Beta]) + 
            Vcc (200021 - 9979 \[Beta]) + 
            50000 VBE (3 + 48703 \[Beta])) + 
         200000 s (1500000 (1700 VBE - 3 Vin) \[Beta] + 
            Vcc (7540063 + 
               610063 \[Beta]))) + (9 s^4 VBE (1 + \[Beta]) + 
         4000000000000 Vcc (317 + 2 \[Beta]) + 
         3000 s^3 VBE (33 + 47033 \[Beta]) + 
         600 s^2 (Vcc (200021 - 9979 \[Beta]) + 
            50000 VBE (3 + 48703 \[Beta])) + 
         200000 s (2550000000 VBE \[Beta] + 
            Vcc (7540063 + 
               610063 \[Beta]))) \[Omega]^2)/(s (9 s^3 (1 + \[Beta]) \
+ 4000000000000 (317 + 17 \[Beta]) + 300 s^2 (400417 + 417 \[Beta]) + 
        100000 s (15081071 + 1881071 \[Beta])) (s^2 + \[Omega]^2))}}




Assuming \$\beta=100\$, \$\text{V}_\text{BE}=\frac{7}{10\text{s}}\$, \$\omega=100\pi\$, \$\hat{\text{v}}_\text{cc}=15\$ and \$\hat{\text{v}}_\text{in}=5\$. That gave:

In[1]:=FullSimplify[
 Solve[{IE == IB + IC, 100 == IC/IB, (7/10)/s == V2 - V3, 
   I3 == I1 + I2, 0 == I2 + I4 + I9, I5 == I9 + I10, IE == I4 + I5, 
   I1 + I8 == I3 + I11, I11 == IB + I6, IC == I6 + I7, I10 == I7 + I8,
    I1 == (((5*s)/(s^2 + (100 Pi)^2)) - V1)/10000, 
   I1 == (V1 - V2)/((1/(s*((1/10)*10^(-6))))), I3 == V2/20000, 
   I4 == V3/1000, I5 == V3/((1/(s*((1/10)*10^(-6))))), 
   I6 == (V2 - V4)/((1/(s*((10)*10^(-12))))), 
   I7 == ((15/s) - V4)/7500, I8 == ((15/s) - V2)/150000}, {IB, IC, IE,
    I1, I2, I3, I4, I5, I6, I7, I8, I9, I10, I11, V1, V2, V3, V4}]]

Out[1]={{IB -&gt; ((10000 + 
        s) (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(1000000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  IC -&gt; ((10000 + 
        s) (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(10000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  IE -&gt; (101 (10000 + 
        s) (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(1000000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I1 -&gt; (s^2 (273800000000000 + 5446335000 s + 39087 s^2) - 
    30000 \[Pi]^2 (43200000000000 + 7 s (52120000 + 303 s)))/(
   100000 (10000 \[Pi]^2 + s^2) (8068000000000000 + 
      s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I2 -&gt; (30000 \[Pi]^2 (1000 + 3 s) (43200000000000 + 
         7 s (52120000 + 303 s)) + 
      s^2 (129600000000000000 + 
         s (189094520000000 - 
            3 s (3248779000 + 23937 s))))/(200000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I3 -&gt; (30000 \[Pi]^2 (1000 + s) (43200000000000 + 
         7 s (52120000 + 303 s)) + 
      3 s^2 (43200000000000000 + 
         s (245564840000000 + 
            s (382111000 + 2121 s))))/(200000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I4 -&gt; (101 (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(100 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I5 -&gt; (101 (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(1000000 (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I6 -&gt; (-30000 \[Pi]^2 (8960000000 + s (49141000 + 431 s)) + 
    3 s^2 (-8960000000 + s (35959000 + 7069 s)))/(
   50000 (10000 \[Pi]^2 + s^2) (8068000000000000 + 
      s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I7 -&gt; (10000 \[Pi]^2 (181000000000000000 + 
         s (-10443985000000 + s (-2355206000 + 43329 s))) + 
      s^2 (181000000000000000 + 
         s (1489556015000000 + 
            s (147629644000 + 43329 s))))/(25000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I8 -&gt; (s^2 (360200000000000000 + 
         s (770376015000000 + s (6249644000 + 43329 s))) + 
      10000 \[Pi]^2 (360200000000000000 + 
         s (972376015000000 + 
            s (6264794000 + 43329 s))))/(500000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I9 -&gt; (-10000 \[Pi]^2 (1592080000000000000 + 
         s (159150526000000 + 63 s (106963000 + 303 s))) + 
      s^2 (-1592080000000000000 + 
         3 s (-4026116842000000 + 
            s (1796197000 + 23937 s))))/(200000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I10 -&gt; (10000 \[Pi]^2 (3980200000000000000 + 
         s (763496315000000 + 11 s (-3712666000 + 82719 s))) + 
      s^2 (3980200000000000000 + 
         s (30561496315000000 + 
            11 s (268985684000 + 
               82719 s))))/(500000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  I11 -&gt; (-10000 \[Pi]^2 (-72400000000000000 + 
         s (4720570000000 + s (3920027000 + 8787 s))) + 
      s^2 (72400000000000000 + 
         s (595279430000000 + 
            s (61230973000 + 445713 s))))/(1000000 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  V1 -&gt; (30000 \[Pi]^2 (43200000000000 + 7 s (52120000 + 303 s)) + 
      s (403400000000000000 + 
         3 s (247380285000000 + 
            s (395140000 + 2121 s))))/(10 (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  V2 -&gt; (30000 \[Pi]^2 (1000 + s) (43200000000000 + 
         7 s (52120000 + 303 s)) + 
      3 s^2 (43200000000000000 + 
         s (245564840000000 + 
            s (382111000 + 2121 s))))/(10 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  V3 -&gt; (1010 (10000 \[Pi]^2 (7240000000000 + 
           s (-1142297000 + 17073 s)) + 
        s^2 (7240000000000 + 
           s (58857703000 + 21573 s))))/(s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s)))), 
  V4 -&gt; (3 s^2 (222400000000000000 + 
         s (-473615160000000 + s (-140997889000 + 2121 s))) + 
      30000 \[Pi]^2 (222400000000000000 + 
         s (1026384840000000 + 
            s (8986961000 + 2121 s))))/(10 s (10000 \[Pi]^2 + 
        s^2) (8068000000000000 + 
        s (20318817100000 + 3 s (44211700 + 303 s))))}}


So, the output voltage \$\text{V}_4\$, given by:

(3 s^2 (222400000000000000 + 
      s (-473615160000000 + s (-140997889000 + 2121 s))) + 
   30000 \[Pi]^2 (222400000000000000 + 
      s (1026384840000000 + 
         s (8986961000 + 2121 s))))/(10 s (10000 \[Pi]^2 + 
     s^2) (8068000000000000 + 
     s (20318817100000 + 3 s (44211700 + 303 s))))


Which gives when plotted: