ODE No. 777

$$y^{\prime }(x)=\frac{y(x)(y(x)+1)}{x(xy(x{)}^4-y(x)-1)}$$ ✓ Mathematica : cpu = 0.267341 (sec), leaf count = 39

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

$$\text{Solve}[-\frac{1}{2}(y(x)+1{)}^2+2(y(x)+1)-\frac{1}{xy(x)}-\log (y(x)+1)=c_1,y(x)]$$ ✓ Maple : cpu = 0.382 (sec), leaf count = 51

dsolve(diff(y(x),x) = y(x)*(1+y(x))/x/(-y(x)-1+x*y(x)^4),y(x))
 

$$y\left(x\right)={\mathrm{e}}^{\mathrm{RootOf}(x{\mathrm{e}}^{3\mathit{\text{\_Z}}}-5x{\mathrm{e}}^{2\mathit{\text{\_Z}}}+2x{c}_1{\mathrm{e}}^{\mathit{\text{\_Z}}}+2\mathit{\text{\_Z}}{\mathrm{e}}^{\mathit{\text{\_Z}}}x+7{\mathrm{e}}^{\mathit{\text{\_Z}}}x-2x{c}_1-2\mathit{\text{\_Z}}x-3x+2)}-1$$