2.337   ODE No. 337

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

\[ \left (\sqrt {\text {Global$\grave { }$x}^2+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2}+\text {Global$\grave { }$x}\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.0555179 (sec), leaf count = 52

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

Maple : cpu = 0.067 (sec), leaf count = 28

\[ \left \{ -{\it \_C1}+{\frac {1}{ \left ( y \left ( x \right ) \right ) ^{2}}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}}+{\frac {x}{ \left ( y \left ( x \right ) \right ) ^{2}}}=0 \right \} \]