2.1156   ODE No. 1156

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

$$x^2{y}^{″}(x)+\frac{y(x)}{\log (x)}-e^{x}x(x\log (x)+2)=0$$ ✓ Mathematica : cpu = 0.0846221 (sec), leaf count = 32

$$\left\{\{y(x)\to c_2\log (x)(\text{li}(x)-\frac{x}{\log (x)})+e^x\log (x)+c_1\log (x)\}\right\}$$ ✓ Maple : cpu = 0.197 (sec), leaf count = 71

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