Hello, happyfingerrs!
Divide by
Integrating factor:
. .
This one is homogeneous . . .
. .
. . which simplifies to: .
Got it?
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.