3.553   ODE No. 553

$$\boxed{{\displaystyle a{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^m+b{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^n-y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.120015 (sec), leaf count = 51 $$\text{Solve}[\{x=\frac{am{\text{K}\mathrm{\$}\text{1483716}}^{m-1}}{m-1}+\frac{bn{\text{K}\mathrm{\$}\text{1483716}}^{n-1}}{n-1}+c_1,y(x)=a{\text{K}\mathrm{\$}\text{1483716}}^m+b{\text{K}\mathrm{\$}\text{1483716}}^n\},\{y(x),\text{K}\mathrm{\$}\text{1483716}\}]$$

Maple: cpu = 0.031 (sec), leaf count = 36 $$\{x-{\int }^{y\left(x\right)}{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-a{\mathit{\_}\mathit{Z}}^m-b{\mathit{\_}\mathit{Z}}^n+\mathit{\_}\mathit{a})\right)}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$