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 = 0.00984591 (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 = 0.023 (sec), leaf count = 39

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