2.1150   ODE No. 1150

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

\[ x^2 y''(x)+\left (x^2-2\right ) y(x)=0 \] Mathematica : cpu = 0.0102824 (sec), leaf count = 42

\[\left \{\left \{y(x)\to -\frac {\sqrt {\frac {2}{\pi }} \left (\left (c_2 x-c_1\right ) \sin (x)+\left (c_1 x+c_2\right ) \cos (x)\right )}{x}\right \}\right \}\]

Maple : cpu = 0.067 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={\frac { \left ( {\it \_C1}\,x+{\it \_C2} \right ) \cos \left ( x \right ) +\sin \left ( x \right ) \left ( {\it \_C2}\,x-{\it \_C1} \right ) }{x}} \right \} \]