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 = 0.0187305 (sec), leaf count = 50

\[\left \{\left \{y(x)\to c_1 e^{\frac {1}{2 x^2}}-\sqrt {\frac {\pi }{2}} c_2 e^{\frac {1}{2 x^2}} \text {erf}\left (\frac {1}{\sqrt {2} x}\right )\right \}\right \}\] Maple : cpu = 0.026 (sec), leaf count = 24

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