3.666   ODE No. 666

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=(-\ln \left(y\left(x\right)\right)+1+x^2+x^3)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.075510 (sec), leaf count = 29 $$\left\{\{y(x)\to e^{-c_1{e}^{-x}+x^3-2x^2+4x-3}\}\right\}$$

Maple: cpu = 0.156 (sec), leaf count = 24 $$\{y\left(x\right)={\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\mathrm{e}}^x}+x^3-2x^2+4x-3}\}$$