2.610   ODE No. 610

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {x^2 F\left (\frac {y(x)}{x}\right )+y(x)}{x} \] Mathematica : cpu = 0.106308 (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 = 0.011 (sec), leaf count = 20

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