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 = 0.0162251 (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 = 0.057 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {1}{2\,{x}^{2}}}}} \left ( {\it Erf} \left ( {\frac {\sqrt {2}}{2\,x}} \right ) {\it \_C2}+{\it \_C1} \right ) \right \} \]