2.855   ODE No. 855

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

$$y^{\prime }(x)=\frac{y(x)(x^3{\log }^2(y(x))+2x^3\log (x)\log (y(x))+x^3{\log }^2(x)+\log (y(x))+\log (x)-1)}{x}$$ ✗ Mathematica : cpu = 0.962118 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == ((-1 + Log[x] + x^3*Log[x]^2 + Log[y[x]] + 2*x^3*Log[x]*Log[y[x]] + x^3*Log[y[x]]^2)*y[x])/x, y[x], x]

✓ Maple : cpu = 0.214 (sec), leaf count = 51

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