2.1354   ODE No. 1354

\[ y''(x)=\frac {\left (2 x^2-1\right ) y'(x)}{x^3}-\frac {2 y(x)}{x^4} \] Mathematica : cpu = 0.212802 (sec), leaf count = 108


\[\left \{\left \{y(x)\to \frac {c_2 \left (-5 \sqrt {2 \pi } x^2 \text {erfi}\left (\frac {1}{\sqrt {2} x}\right )+\sqrt {2 \pi } \text {erfi}\left (\frac {1}{\sqrt {2} x}\right )-2 e^{\frac {1}{2 x^2}} x+4 e^{\frac {1}{2 x^2}} x^5+8 e^{\frac {1}{2 x^2}} x^3\right )}{12 x^2}+c_1 \left (1-\frac {1}{5 x^2}\right )\right \}\right \}\] Maple : cpu = 0.271 (sec), leaf count = 33


\[y \relax (x ) = \frac {c_{2} \hypergeom \left (\left [-\frac {5}{2}\right ], \left [-\frac {1}{2}\right ], \frac {1}{2 x^{2}}\right ) x^{5}+5 c_{1} x^{2}-c_{1}}{x^{2}}\]