2.102   ODE No. 102

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

\[ -a x^3+x y'(x)+x y(x)^2-y(x)=0 \] Mathematica : cpu = 0.0202862 (sec), leaf count = 36

\[\left \{\left \{y(x)\to \sqrt {a} x \tanh \left (\frac {1}{2} \left (2 \sqrt {a} c_1+\sqrt {a} x^2\right )\right )\right \}\right \}\]

Maple : cpu = 0.036 (sec), leaf count = 22

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