4.186   ODE No. 1186

$$\boxed{{\displaystyle x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-5x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+8y\left(x\right)-\sin \left(x\right)x^3=0}}$$

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

Mathematica: cpu = 0.029504 (sec), leaf count = 42 $$\left\{\{y(x)\to c_2{x}^4+c_1{x}^2+\frac{1}{2}(x^4\text{Ci}(x)-x^3\sin (x)+x^2\cos (x))\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 34 $$\{y\left(x\right)=x^4\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1}{x}^2+\frac{(\cos \left(x\right)+x(x\mathit{C}\mathit{i}\left(x\right)-\sin \left(x\right)))x^2}{2}\}$$