Hello everyone(adsbygoogle = window.adsbygoogle || []).push({});

I having a little trouble with this simple problem:

Show that x*dF(x,y)/dy = y*dF(x,y)/dx is F(x,y) = A*exp(b/2*(x^2+y^2)) where A and b are constants using separation of variables.

x*df/dy = y*df/dx

x= y* df/dx*dy/df

x = y* dy/dx

x*dx = y*dy

integrate both sides x^2/2 = y^2/2 + c

so what do I do now to find the answer??

Thanks for any help you guys can give.

Stephen

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# A simple differential equation question

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