2.1345   ODE No. 1345

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

\[ y''(x)=\frac {2 y(x)}{x^4}-\frac {y'(x)}{x^3} \] Mathematica : cpu = 0.0589396 (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 = 0.05 (sec), leaf count = 25

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