(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find all solutions

[tex] x^{2} y y\prime = (y^{2} - 1)^{\frac{3}{2}}[/tex]

2. Relevant equations

3. 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???

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# Homework Help: First Order ODE

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