2.917   ODE No. 917

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

$$y^{\prime }(x)=\frac{y(x)(x{\log }^2(y(x))+2x\log (x)\log (y(x))+x\log (y(x))+\log (y(x))-x+x{\log }^2(x)+x\log (x)+\log (x)-1)}{x(x+1)}$$ ✗ Mathematica : cpu = 1.24147 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-1 - x + Log[x] + x*Log[x] + x*Log[x]^2 + Log[y[x]] + x*Log[y[x]] + 2*x*Log[x]*Log[y[x]] + x*Log[y[x]]^2)*y[x])/(x*(1 + x)), y[x], x]

✓ Maple : cpu = 0.221 (sec), leaf count = 38

$$\{y\left(x\right)={\mathrm{e}}^{-\frac{\ln (1+x)\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}\ln \left(x\right)-x\ln \left(x\right)-x}{\ln (1+x)+\mathit{\_}\mathit{C}\mathit{1}-x}}\}$$