4.121   ODE No. 1121

$$\boxed{{\displaystyle x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(x^2-x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+(x-1)y\left(x\right)=0}}$$

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

Mathematica: cpu = 10.521836 (sec), leaf count = 40 $$\left\{\{y(x)\to c_{2}x{\int }_1^x\frac{e^{\frac{K[1{]}^2}{2}-K[1]}}{K[1{]}^2}dK[1]+c_{1}x\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 26 $$\{y\left(x\right)=(\int \frac{1}{x^2}{\mathrm{e}}^{\frac{x^2}{2}-x}\mathrm{d}x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2})x\}$$