# nonlinear first ODE : Solve $\displaystyle\frac{dy}{dx}=(x^2+y^2)^2$

Solve $\displaystyle\frac{dy}{dx}=(x^2+y^2)^2$

Any hints for me the solve the problem??

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What is $F$? A Lyapunov function? – copper.hat Nov 15 '12 at 16:54
We can find y(x) or x(y) here, but what is F(x,y)? – Mike D. Nov 15 '12 at 16:54
@cwk709394 - that fact that you haven't accepted any answers to the other 5 questions you've asked on math.stackexchange might be a disincentive for people to answer your question here. The "accept answer" button is just below the arrow down button on the answer; might be a good idea to go over your previous questions and accept some answers - looking at your past questions, it seems there were some acceptable answers given. :) – James Fennell Nov 15 '12 at 17:21
Sorry about that. I corrected my question now – cwk709394 Nov 16 '12 at 1:47
May want to consider accepting questions for which people have provided a sufficient answer – Thomas Nesbitt Nov 16 '12 at 2:57

$\dfrac{dy}{dx}=(x^2+y^2)^2$
$\dfrac{dy}{dx}=y^4+2x^2y^2+x^4$
I still don't know whether existing a substitution so that $y^2$ term can be eliminated and keeping $y^3$ term still vanished, leading it exactly belongs to a Chini equation.