2.220   ODE No. 220

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

\[ -x^3+2 y(x) y'(x)-x y(x)^2=0 \] Mathematica : cpu = 0.0735687 (sec), leaf count = 57

\[\left \{\left \{y(x)\to -\sqrt {-x^2+c_1 e^{\frac {x^2}{2}}-2}\right \},\left \{y(x)\to \sqrt {-x^2+c_1 e^{\frac {x^2}{2}}-2}\right \}\right \}\] Maple : cpu = 0.018 (sec), leaf count = 43

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