2.317   ODE No. 317

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

\[ \left (\text {Global$\grave { }$x}^2+2 \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3+\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.326906 (sec), leaf count = 23

\[\text {Solve}\left [\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2-\frac {\text {Global$\grave { }$x}}{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}+\log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))+\log (\text {Global$\grave { }$x})=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]

Maple : cpu = 0.123 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( - \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-{{\rm e}^{{\it \_Z}}}\ln \left ( x \right ) +{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x \right ) }} \right \} \]