3.159   ODE No. 159

\[ \boxed { \left ( {x}^{2}-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -2\,xy \left ( x \right ) \ln \left ( y \left ( x \right ) \right ) =0} \]

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

Mathematica: cpu = 0.017502 (sec), leaf count = 22 \[ \left \{\left \{y(x)\to e^{e^{c_1} x^2-e^{c_1}}\right \}\right \} \]

Maple: cpu = 0.078 (sec), leaf count = 13 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it \_C1}\, \left ( x-1 \right ) \left ( 1+x \right ) }} \right \} \]