3.337   ODE No. 337

\[ \boxed { \left ( \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}+x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.059007 (sec), leaf count = 52 \[ \left \{\left \{y(x)\to -e^{\frac {c_1}{2}} \sqrt {e^{c_1}+2 x}\right \},\left \{y(x)\to e^{\frac {c_1}{2}} \sqrt {e^{c_1}+2 x}\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 28 \[ \left \{ -{\it \_C1}+{\frac {1}{ \left ( y \left ( x \right ) \right ) ^{ 2}}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}}+{\frac {x }{ \left ( y \left ( x \right ) \right ) ^{2}}}=0 \right \} \]