\[ x^2 y''(x)+\left (x^2-2\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0069983 (sec), leaf count = 53
DSolve[(-2 + x^2)*y[x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \sqrt {\frac {2}{\pi }} c_2 \left (-\sin (x)-\frac {\cos (x)}{x}\right )+\sqrt {\frac {2}{\pi }} c_1 \left (\frac {\sin (x)}{x}-\cos (x)\right )\right \}\right \}\] ✓ Maple : cpu = 0.073 (sec), leaf count = 27
dsolve(x^2*diff(diff(y(x),x),x)+(x^2-2)*y(x)=0,y(x))
\[y \left (x \right ) = \frac {\left (c_{1} x +c_{2}\right ) \cos \left (x \right )+\sin \left (x \right ) \left (x c_{2}-c_{1}\right )}{x}\]