How to derive an RC transfer function to plot in MATLAB?
if you are using matlab, there is no need to solve the circuit.

You can just build the circuit as is in Simulink and get that to solve it, you need values for the components though, there is no way to graph this if it is left symbolic.

your other choice is to solve it in laplace and give matlab the numerator and denominator and get it to plot the bode of the transfer function for example.

you got told in a comment that you need a series impedance to V1 for C1 and R1 to make sense and they are right, since they are parallel I can just say that V(R1) = V1 and solve that one loop to get the transfer function.

$$
\frac{V_2}{V_1}=\frac{1}{SC_2R_2+1}
$$

you can substitute S for w which is 2pif where f is frequency.

it is possible I made mistakes, so just comment and point them out I guess.