- #1
robbondo
- 90
- 0
Homework Statement
Find all solutions
[tex] x^{2} y y\prime = (y^{2} - 1)^{\frac{3}{2}}[/tex]
Homework Equations
The Attempt at a Solution
I know I have to use separation of variables because it isn't linear.
so I get
[tex] \frac{ydy}{(y^{2} - 1)^{\frac{3}{2}}} = \frac{1}{dxx^{2}}[/tex]
Now I'm kinda stuck at how to integrate this. I think I'm supposed to use partial fraction expansion, but since there's the 3/2 exponent, I'm confused as to how to go about doing that. Tips?