Differential equation

Question

2) Consider the differential equation



y' − (2 + xe^xy) = x²(y' − xe^xy)

(a) Find the explicit general solution.

(b) Find the particular solution that passes through the point (0, e^-1) and the maximal interval where it is defined.

Answer 1

For the homogeneous case y(x)= _ee^x(x-1)_+C

To solve the particular case must solve integral of _2*ee^x(x-1)_/(1-x2₎

is as far as I am on this problem

can you if you find out post comment on solution?