3.636   ODE No. 636

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) = \left ( -\ln \left ( y \left ( x \right ) \right ) +{x}^{2} \right ) y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.055007 (sec), leaf count = 24 \[ \left \{\left \{y(x)\to e^{-2 c_1 e^{-x}+x^2-2 x+2}\right \}\right \} \]

Maple: cpu = 0.140 (sec), leaf count = 19 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^{x }}}}+{x}^{2}-2\,x+2}} \right \} \]