2.1345   ODE No. 1345

\[ y''(x)=\frac {2 y(x)}{x^4}-\frac {y'(x)}{x^3} \] Mathematica : cpu = 0.049563 (sec), leaf count = 52


\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2 x^2}} x-\sqrt {\frac {\pi }{2}} c_2 e^{\frac {1}{2 x^2}} x \text {erf}\left (\frac {1}{\sqrt {2} x}\right )\right \}\right \}\] Maple : cpu = 0.044 (sec), leaf count = 25


\[y \relax (x ) = x \,{\mathrm e}^{\frac {1}{2 x^{2}}} \left (\erf \left (\frac {\sqrt {2}}{2 x}\right ) c_{2}+c_{1}\right )\]