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 = 2.12076 (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 = 0.309 (sec), leaf count = 80

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