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 = 0.127086 (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 = 0.028 (sec), leaf count = 43

\[\left \{y \left (x \right ) = \sqrt {c_{1} {\mathrm e}^{\frac {x^{2}}{2}}-x^{2}-2}, y \left (x \right ) = -\sqrt {c_{1} {\mathrm e}^{\frac {x^{2}}{2}}-x^{2}-2}\right \}\]