2.873   ODE No. 873

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

$$y^{\prime }(x)=\frac{2y(x)+1}{x(2xy(x{)}^4+3xy(x{)}^3+xy(x{)}^2+2xy(x)+x-2)}$$ ✓ Mathematica : cpu = 0.491061 (sec), leaf count = 53

$$\text{Solve}[\frac{1}{192}(-16y(x{)}^3-12y(x{)}^2+12y(x)-54\log (4y(x)+2)+7)-\frac{1}{2x(2y(x)+1)}=c_1,y(x)]$$ ✓ Maple : cpu = 0.328 (sec), leaf count = 50

$$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4-3x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-6x{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2+48\mathit{\_}\mathit{C}\mathit{1}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+54\mathit{\_}\mathit{Z}x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+7x{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+96)}}{2}-\frac{1}{2}\}$$