3.651   ODE No. 651

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

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

Mathematica: cpu = 0.037505 (sec), leaf count = 16 \[ \left \{\left \{y(x)\to e^{2 c_1 x+x^2}\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 13 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it \_C1}\,x}}{{\rm e}^{{x}^{2 }}} \right \} \]