1. I want to solve this ordinary diff equation:

(1-x^2)dy/dx + 2xy = (1-x^2)^3/2

Here is my working:

dy/dx = (1-x^2)^3/2 - 2xy / (1-x^2)

= (1-x^2)^1/2 -2xy/(1-x^2)

It's unseparable and I can't use substitution since I can't see a (x/y), what should I do next to solve this?

2. I also want to solve: (y-x)dy/dx + 2x + 3y = 0

But I get:

dy/dx = -(2x + 3y)/(y-x)

and I'm stuck on what to do next.

Could someone please help me? I really want to undertand how to solve these.

Thankyou for your time and help, I really do appreciate it.