2.396   ODE No. 396

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

\[ (y(x)-x) y(x) y'(x)+y'(x)^2-x y(x)^3=0 \] Mathematica : cpu = 0.0703115 (sec), leaf count = 29

\[\left \{\left \{y(x)\to \frac {1}{x-c_1}\right \},\left \{y(x)\to c_1 e^{\frac {x^2}{2}}\right \}\right \}\] Maple : cpu = 0.017 (sec), leaf count = 20

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