2.232   ODE No. 232

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

\[ x^2+x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.0100015 (sec), leaf count = 46

\[\left \{\left \{y(x)\to -\frac {\sqrt {c_1-\frac {x^4}{2}}}{x}\right \},\left \{y(x)\to \frac {\sqrt {c_1-\frac {x^4}{2}}}{x}\right \}\right \}\]

Maple : cpu = 0.016 (sec), leaf count = 39

\[ \left \{ y \left ( x \right ) =-{\frac {1}{2\,x}\sqrt {-2\,{x}^{4}+4\,{\it \_C1}}},y \left ( x \right ) ={\frac {1}{2\,x}\sqrt {-2\,{x}^{4}+4\,{\it \_C1}}} \right \} \]