2.44   ODE No. 44

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

\[ 2 a x^3 y(x)^3+y'(x)+2 x y(x)=0 \] Mathematica : cpu = 0.0166958 (sec), leaf count = 72

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

Maple : cpu = 0.023 (sec), leaf count = 53

\[ \left \{ y \left ( x \right ) =-2\,{\frac {1}{\sqrt {-4\,a{x}^{2}+4\,{{\rm e}^{2\,{x}^{2}}}{\it \_C1}-2\,a}}},y \left ( x \right ) =2\,{\frac {1}{\sqrt {-4\,a{x}^{2}+4\,{{\rm e}^{2\,{x}^{2}}}{\it \_C1}-2\,a}}} \right \} \]