2.610   ODE No. 610

\[ y'(x)=\frac {x^2 F\left (\frac {y(x)}{x}\right )+y(x)}{x} \] Mathematica : cpu = 0.0977757 (sec), leaf count = 25


\[\text {Solve}\left [\int _1^{\frac {y(x)}{x}}\frac {1}{F(K[1])}dK[1]=x+c_1,y(x)\right ]\] Maple : cpu = 0.02 (sec), leaf count = 20


\[y \relax (x ) = \RootOf \left (x -\left (\int _{}^{\textit {\_Z}}\frac {1}{F \left (\textit {\_a} \right )}d \textit {\_a} \right )+c_{1}\right ) x\]