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 = 0.0081937 (sec), leaf count = 53

\[\left \{\left \{y(x)\to \sqrt {\frac {2}{\pi }} c_2 \left (-\sin (x)-\frac {\cos (x)}{x}\right )+\sqrt {\frac {2}{\pi }} c_1 \left (\frac {\sin (x)}{x}-\cos (x)\right )\right \}\right \}\] Maple : cpu = 0.089 (sec), leaf count = 27

\[\left \{y \left (x \right ) = \frac {\left (c_{1} x +c_{2}\right ) \cos \left (x \right )+\left (c_{2} x -c_{1}\right ) \sin \left (x \right )}{x}\right \}\]