ODE No. 1150

\[ x^2 y''(x)+\left (x^2-2\right ) y(x)=0 \]

✓ Mathematica : cpu = 0.0072508 (sec), leaf count = 21

DSolve[(-2 + x^2)*y[x] + x^2*Derivative[2][y][x] == 0,y[x],x]

\[\{\{y(x)\to c_1 x j_1(x)-c_2 x y_1(x)\}\}\]

✓ Maple : cpu = 0.098 (sec), leaf count = 27

dsolve(x^2*diff(diff(y(x),x),x)+(x^2-2)*y(x)=0,y(x))

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