2.1057   ODE No. 1057

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

$$x^2(-y^{\prime }(x))+y^{″}(x)-(x+1{)}^{2}y(x)=0$$ ✓ Mathematica : cpu = 0.865531 (sec), leaf count = 55

$$\left\{\{y(x)\to c_2{e}^{\frac{x^3}{3}+x}{\int }_1^x{e}^{-\frac{1}{3}K[1{]}^3-2K[1]}dK[1]+c_1{e}^{\frac{x^3}{3}+x}\}\right\}$$

✓ Maple : cpu = 0.254 (sec), leaf count = 50

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{T}(0,-3,2\sqrt[3]{3},\frac{3^{\frac{2}{3}}x}{3}){\mathrm{e}}^{-x}+\mathit{\_}\mathit{C}\mathit{2}\mathit{H}\mathit{e}\mathit{u}\mathit{n}\mathit{T}(0,3,2\sqrt[3]{3},-\frac{3^{\frac{2}{3}}x}{3}){\mathrm{e}}^{\frac{x(x^2+3)}{3}}\}$$