2.916   ODE No. 916

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

$$y^{\prime }(x)=\frac{y(x)(x^4{\log }^2(y(x))+2x^4\log (x)\log (y(x))+x^4{\log }^2(x)+x\log (y(x))+\log (y(x))-x+x\log (x)+\log (x)-1)}{x(x+1)}$$ ✗ Mathematica : cpu = 1.71768 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-1 - x + Log[x] + x*Log[x] + x^4*Log[x]^2 + Log[y[x]] + x*Log[y[x]] + 2*x^4*Log[x]*Log[y[x]] + x^4*Log[y[x]]^2)*y[x])/(x*(1 + x)), y[x], x]

✓ Maple : cpu = 1.006 (sec), leaf count = 73

$$\{y\left(x\right)={\mathrm{e}}^{\frac{-12\ln \left(x\right)\ln (1+x)+(-3x^4+4x^3-6x^2+12\mathit{\_}\mathit{C}\mathit{1}+12x)\ln \left(x\right)-12x}{3x^4-4x^3+6x^2+12\ln (1+x)-12\mathit{\_}\mathit{C}\mathit{1}-12x}}\}$$