2.365   ODE No. 365

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

\[ \left (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \text {Global$\grave { }$f}\left (\text {Global$\grave { }$x}^2+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2\right )-\text {Global$\grave { }$x}\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \text {Global$\grave { }$f}\left (\text {Global$\grave { }$x}^2+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2\right )+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.314 (sec), leaf count = 42

\[ \left \{ y \left ( x \right ) ={x \left ( \tan \left ( {\it RootOf} \left ( -2\,{\it \_Z}-\int ^{{\frac {{x}^{2} \left ( \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+1 \right ) }{ \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}}}}\!{\frac {f \left ( {\it \_a} \right ) }{{\it \_a}}}{d{\it \_a}}+2\,{\it \_C1} \right ) \right ) \right ) ^{-1}} \right \} \]