2.1351   ODE No. 1351

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

\[ y''(x)=\frac {y(x)}{x^4}-\frac {\left (2 x^2+1\right ) y'(x)}{x^3} \] Mathematica : cpu = 0.0291263 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {1}{2} e^{\frac {1}{2 x^2}} \left (2 c_1-\sqrt {2 \pi } c_2 \text {erf}\left (\frac {1}{\sqrt {2} x}\right )\right )\right \}\right \}\]

Maple : cpu = 0.033 (sec), leaf count = 24

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