Question

Exact equations
(e^(x^2)y)(1+2(x^2)y)dx + (x^3)(e^(x^2)y)dy = 0

Integrating factor
1. (2xy) dx + (2(x^2) + 3)dy = 0
Having an integration factor is just a function of y.
2. ((x^2) + 3x + 2) dx + ((x^2) + x + 1) dy = 0
Having an integration factor is just a function of (x + y)