3.917   ODE No. 917

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

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

Mathematica: cpu = 1.226656 (sec), leaf count = 60 $$\text{DSolve}[y^{\prime }(x)=\frac{y(x)(x{\log }^2(y(x))+2x\log (x)\log (y(x))+x\log (y(x))+\log (y(x))-x+x{\log }^2(x)+x\log (x)+\log (x)-1)}{x(x+1)},y(x),x]$$

Maple: cpu = 0.172 (sec), leaf count = 38 $$\{y\left(x\right)={\mathrm{e}}^{-\frac{\ln (1+x)\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}\ln \left(x\right)-x\ln \left(x\right)-x}{\ln (1+x)+\mathit{\_}\mathit{C}\mathit{1}-x}}\}$$