2.442   ODE No. 442

\[ x^2 y'(x)^2+(1-x) \left (y(x)^2-x^2 y(x)\right )+\left (x^3+x^2 y(x)-2 x y(x)\right ) y'(x)=0 \] Mathematica : cpu = 0.0301087 (sec), leaf count = 28


\[\left \{\left \{y(x)\to c_1 e^{-x} x\right \},\left \{y(x)\to -x^2+c_1 x\right \}\right \}\] Maple : cpu = 0.035 (sec), leaf count = 21


\[y \relax (x ) = \left (-x +c_{1}\right ) x\]