## anonymous one year ago Hello! I've another question about a non linear differential equation y' - ((xy)/(1-x^2))y = xy^2 I put z=1/y so y=1/z and y'=-(1/z^2)z' Is that correct? At the end of the substitution I got a linear ODE like this: z' = -x -(x/1-x^2) ... I'm right at this point? Thank you in advance

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1. IrishBoy123

|dw:1441909766831:dw|

2. anonymous

yes, is that

3. IrishBoy123

are you doing this as a Bernoilli, because... |dw:1441916541845:dw|

4. IrishBoy123

as it stands you can separate this. $y' = y^2.f(x)$ $\frac{y}{y^2}' = f(x)$

5. anonymous

Ok thank you IrishBoy... I got it! You just separate the variables ok ok :-)

6. IrishBoy123

cool