2.396   ODE No. 396

\[ (y(x)-x) y(x) y'(x)+y'(x)^2-x y(x)^3=0 \] Mathematica : cpu = 0.0634282 (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 = 0.019 (sec), leaf count = 20


\[y \relax (x ) = {\mathrm e}^{\frac {x^{2}}{2}} c_{1}\]