2.1404   ODE No. 1404

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

\[ y''(x)=-\frac {\left (1-2 x^2\right ) y(x)}{4 x^6}-\frac {\left (2 x^2+1\right ) y'(x)}{x^3} \] Mathematica : cpu = 0.0274087 (sec), leaf count = 33

\[\left \{\left \{y(x)\to \frac {c_1 e^{\frac {1}{4 x^2}}}{x}+c_2 e^{\frac {1}{4 x^2}}\right \}\right \}\]

Maple : cpu = 0.06 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {1}{4\,{x}^{2}}}}}+{\frac {{\it \_C2}}{x}{{\rm e}^{{\frac {1}{4\,{x}^{2}}}}}} \right \} \]