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 = 0.0794958 (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 = 0.079 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( x-\int ^{{\it \_Z}}\! \left ( F \left ( {\it \_a} \right ) \right ) ^{-1}{d{\it \_a}}+{\it \_C1} \right ) x \right \} \]