2.553   ODE No. 553

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

$$a{y}^{\prime }(x{)}^m+b{y}^{\prime }(x{)}^n-y(x)=0$$ ✓ Mathematica : cpu = 0.253614 (sec), leaf count = 52

$$\text{Solve}[\{x=\frac{\frac{am{\text{K}\mathrm{\$}\text{125198}}^m}{m-1}+\frac{bn{\text{K}\mathrm{\$}\text{125198}}^n}{n-1}}{\text{K}\mathrm{\$}\text{125198}}+c_1,y(x)=a{\text{K}\mathrm{\$}\text{125198}}^m+b{\text{K}\mathrm{\$}\text{125198}}^n\},\{y(x),\text{K}\mathrm{\$}\text{125198}\}]$$ ✓ Maple : cpu = 0.416 (sec), leaf count = 36

$$\{x-{\int }^{y\left(x\right)}{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-a{\mathit{\_}\mathit{Z}}^m-b{\mathit{\_}\mathit{Z}}^n+\mathit{\_}\mathit{a})\right)}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$