3.232   ODE No. 232

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

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

Mathematica: cpu = 0.009001 (sec), leaf count = 56 \[ \left \{\left \{y(x)\to -\frac {\sqrt {2 c_1-x^4}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {2 c_1-x^4}}{\sqrt {2} x}\right \}\right \} \]

Maple: cpu = 0.015 (sec), leaf count = 39 \[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,x}\sqrt {-2\,{x}^{4}+4\,{ \it \_C1}}},y \left ( x \right ) ={\frac {1}{2\,x}\sqrt {-2\,{x}^{4}+4\, {\it \_C1}}} \right \} \]