sin2
0;
4
 
 
 
  
 
 
 
 
 
 
 
 
 
 
 
y
x
y dx
x dy
y
x
 when x = 1
14 cosec
0
dy
y
y
dx
x
⎛x
⎞
−
+
=
⎜
⎟
⎝
⎠
;  y = 0 when x = 1
15 2
2
2
2
0
dy
xy
y
x dx
+
−
=
;  y = 2 when x = 1
16 A homogeneous differential equation of the from 
dx
hx
dy
⎛y
⎞
=
⎜
⎟
⎝
⎠  can be solved by
making the substitution