3.734   ODE No. 734

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{(-\ln \left(y\left(x\right)\right)x-\ln \left(y\left(x\right)\right)+x^3)y\left(x\right)}{1+x}=0}}$$

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

Mathematica: cpu = 0.121515 (sec), leaf count = 37 $$\left\{\{y(x)\to \exp (-c_1{e}^{-x}-e^{-x-1}\text{Ei}(x+1)+x^2-3x+4)\}\right\}$$

Maple: cpu = 0.125 (sec), leaf count = 39 $$\{y\left(x\right)=\frac{{\mathrm{e}}^{x^2}{\mathrm{e}}^4}{{\left({\mathrm{e}}^x\right)}^3}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}}{\mathrm{e}}^{\frac{\mathit{E}\mathit{i}(1,-1-x)}{{\mathrm{e}}^x\mathrm{e}}}\}$$