2.442   ODE No. 442

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

\[ x^2 y'(x)^2+(1-x) \left (y(x)^2-x^2 y(x)\right )+\left (x^3+x^2 y(x)-2 x y(x)\right ) y'(x)=0 \] Mathematica : cpu = 0.0342572 (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 = 0.026 (sec), leaf count = 21

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