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

1. Feb 17, 2016

### hotjohn

1. The problem statement, all variables and given/known data
rewrite the equation in the form of linear equation . Then solve it . (1-x^2)dy/dx -xy = 1/ (1-x^2)

the ans given is y= [x/ (1-x^2) ]+ [ C / ( sqrt rt (1-x^2) ) ] , my ans is different , which part is wrong ?
2. Relevant equations

3. The attempt at a solution

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2. Feb 17, 2016

### Dr. Courtney

It can often be useful to plug the given answer back in and verify it is a solution by differentiating and simplifying.

3. Feb 17, 2016

### RUber

4. Feb 18, 2016

### hotjohn

5. Feb 18, 2016

### blue_leaf77

Could you post your calculation with that integral?

6. Feb 18, 2016

### RUber

What do you get if you take that derivative?
$\frac{d}{dx} x^{-1}(1-x^2)^{-1/2} = -x^{-2}(1-x^2)^{-1/2}+x^{-1}(1-x^2)^{-3/2}\neq (1-x^2)^{-3/2}$