3.692   ODE No. 692

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) +{x}^{3}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}}{x}}=0} \]

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

Mathematica: cpu = 0.027003 (sec), leaf count = 20 \[ \left \{\left \{y(x)\to x \sinh \left (\frac {1}{3} \left (3 c_1+x^3\right )\right )\right \}\right \} \]

Maple: cpu = 1.186 (sec), leaf count = 30 \[ \left \{ \ln \left ( \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{ x}^{2}}+y \left ( x \right ) \right ) -{\frac {{x}^{3}}{3}}-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]