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 = 0.0452319 (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 = 0.043 (sec), leaf count = 20

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