2.977   ODE No. 977

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

\[ y'(x)=e^{2 x^2} x y(x) \left (e^{-x^2} y(x)+e^{-2 x^2}+y(x)^2\right ) \] Mathematica : cpu = 1.17609 (sec), leaf count = 1

\[\{\}\]

Maple : cpu = 0.217 (sec), leaf count = 122

\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,{{\rm e}^{{x}^{2}}}} \left ( \sqrt {11}\tan \left ( {\it RootOf} \left ( -4\,\sqrt {11}{x}^{2}+8\,\ln \left ( -{\frac {36\,\sqrt {11}}{11}}+36\,\tan \left ( {\it \_Z} \right ) \right ) \sqrt {11}-4\,\ln \left ( {\frac {2592\,\sqrt {11} \left ( {{\rm e}^{{x}^{2}}} \right ) ^{2}\tan \left ( {\it \_Z} \right ) }{25}}-{\frac {2592\,{{\rm e}^{2\,{x}^{2}}}\sqrt {11}\tan \left ( {\it \_Z} \right ) }{25}}+{\frac {14256\,{{\rm e}^{2\,{x}^{2}}} \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}}{25}}+{\frac {2592\, \left ( {{\rm e}^{{x}^{2}}} \right ) ^{2}}{5}}+{\frac {1296\,{{\rm e}^{2\,{x}^{2}}}}{25}} \right ) \sqrt {11}+4\,\ln \left ( 11 \right ) \sqrt {11}+9\,\sqrt {11}{\it \_C1}-8\,{\it \_Z} \right ) \right ) -1 \right ) } \right \} \]