2.396   ODE No. 396

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

\[ (\text {Global$\grave { }$y}(\text {Global$\grave { }$x})-\text {Global$\grave { }$x}) \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3=0 \] Mathematica : cpu = 0.00914381 (sec), leaf count = 29

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {1}{\text {Global$\grave { }$x}-c_1}\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to c_1 e^{\frac {\text {Global$\grave { }$x}^2}{2}}\right \}\right \}\]

Maple : cpu = 0.012 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) = \left ( {\it \_C1}+x \right ) ^{-1},y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{2}}{2}}}}{\it \_C1} \right \} \]