2.442   ODE No. 442

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

\[ x^2 y'(x)^2+\left (x^2 y(x)+x^3-2 x y(x)\right ) y'(x)+(1-x) \left (y(x)^2-x^2 y(x)\right )=0 \] Mathematica : cpu = 0.0124129 (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 = 0.04 (sec), leaf count = 21

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