5.65   ODE No. 1513

$$\boxed{{\displaystyle x^3\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)-4x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(x^2+8)x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2(x^2+4)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.074509 (sec), leaf count = 25 $$\left\{\{y(x)\to c_1{x}^2-c_{2}x\sin (x)+c_{3}x\cos (x)\}\right\}$$

Maple: cpu = 0.171 (sec), leaf count = 20 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2+\mathit{\_}\mathit{C}\mathit{2}x\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{3}\cos \left(x\right)x\}$$