4.156   ODE No. 1156

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

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

Mathematica: cpu = 0.207026 (sec), leaf count = 34 $$\text{DSolve}[x^2{y}^{″}(x)+\frac{y(x)}{\log (x)}-e^{x}x(x\log (x)+2)=0,y(x),x]$$

Maple: cpu = 0.093 (sec), leaf count = 73 $$\{y\left(x\right)=\ln \left(x\right)\mathit{\_}\mathit{C}\mathit{2}+(-\mathit{E}\mathit{i}(1,-\ln \left(x\right))\ln \left(x\right)-x)\mathit{\_}\mathit{C}\mathit{1}-(-\int \frac{(\mathit{E}\mathit{i}(1,-\ln \left(x\right))\ln \left(x\right)+x){\mathrm{e}}^x(2+x\ln \left(x\right))}{x}\mathrm{d}x+{\mathrm{e}}^x\ln \left(x\right)(\mathit{E}\mathit{i}(1,-\ln \left(x\right))\ln \left(x\right)+x))\ln \left(x\right)\}$$