2.1150   ODE No. 1150

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

$$x^2{y}^{″}(x)+(x^2-2)y(x)=0$$ ✓ Mathematica : cpu = 0.010754 (sec), leaf count = 53

$$\left\{\{y(x)\to \sqrt{\frac{2}{\pi }}{c}_2(-\sin (x)-\frac{\cos (x)}{x})+\sqrt{\frac{2}{\pi }}{c}_1(\frac{\sin (x)}{x}-\cos (x))\}\right\}$$

✓ Maple : cpu = 0.067 (sec), leaf count = 31

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}(\cos \left(x\right)x-\sin \left(x\right))}{x}+\frac{\mathit{\_}\mathit{C}\mathit{2}(x\sin \left(x\right)+\cos \left(x\right))}{x}\}$$