2.1122   ODE No. 1122

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

$$-(x^2-x-2)y^{\prime }(x)+x{y}^{″}(x)-x(x+3)y(x)=0$$ ✓ Mathematica : cpu = 0.201 (sec), leaf count = 57

$$\left\{\{y(x)\to c_2{e}^{\frac{x^2}{2}}{\int }_1^x\frac{e^{-\frac{1}{2}K[1{]}^2-K[1]}}{K[1{]}^2}dK[1]+c_1{e}^{\frac{x^2}{2}}\}\right\}$$ ✓ Maple : cpu = 0.849 (sec), leaf count = 28

$$\{y\left(x\right)={\mathrm{e}}^{\frac{x^2}{2}}(\int \frac{1}{x^2}{\mathrm{e}}^{-\frac{x(x+2)}{2}}\mathrm{d}x\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{1})\}$$