2.103   ODE No. 103

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

\[ -x^3-\left (2 x^2+1\right ) y(x)+x y'(x)+x y(x)^2=0 \] Mathematica : cpu = 0.100959 (sec), leaf count = 90

\[\left \{\left \{y(x)\to \frac {x \left (e^{2 \sqrt {2} c_1}-\sqrt {2} e^{2 \sqrt {2} c_1}+e^{\sqrt {2} x^2}+\sqrt {2} e^{\sqrt {2} x^2}\right )}{e^{2 \sqrt {2} c_1}+e^{\sqrt {2} x^2}}\right \}\right \}\]

Maple : cpu = 0.033 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac {\sqrt {2}x}{2} \left ( \sqrt {2}+2\,\tanh \left ( 1/2\, \left ( {x}^{2}+2\,{\it \_C1} \right ) \sqrt {2} \right ) \right ) } \right \} \]