2.1354   ODE No. 1354

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

\[ y''(x)=\frac {\left (2 x^2-1\right ) y'(x)}{x^3}-\frac {2 y(x)}{x^4} \] Mathematica : cpu = 0.0738161 (sec), leaf count = 81

\[\left \{\left \{y(x)\to \frac {5 \sqrt {2 \pi } c_2 \left (1-5 x^2\right ) \text {erfi}\left (\frac {1}{\sqrt {2} x}\right )+2 \left (6 c_1 \left (5 x^2-1\right )+5 c_2 e^{\frac {1}{2 x^2}} x \left (2 x^4+4 x^2-1\right )\right )}{60 x^2}\right \}\right \}\]

Maple : cpu = 0.256 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={\frac {1}{{x}^{2}} \left ( {\it \_C2}\,{\mbox {$_1$F$_1$}(-{\frac {5}{2}};\,-{\frac {1}{2}};\,{\frac {1}{2\,{x}^{2}}})}{x}^{5}+5\,{\it \_C1}\,{x}^{2}-{\it \_C1} \right ) } \right \} \]