3.554   ODE No. 554

$$\boxed{{\displaystyle x^{n-1}{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^n-nx\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.075010 (sec), leaf count = 49 $$\text{Solve}[\{y(x)=\frac{\text{K}\mathrm{\$}\text{1483865}n{x}^2-{\text{K}\mathrm{\$}\text{1483865}}^n{x}^n}{x},x=c_1(\text{K}\mathrm{\$}\text{1483865}-\text{K}\mathrm{\$}\text{1483865}n{)}^{\frac{n}{1-n}}\},\{y(x),\text{K}\mathrm{\$}\text{1483865}\}]$$

Maple: cpu = 0.266 (sec), leaf count = 29 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt[n]{\frac{x}{\mathit{\_}\mathit{C}\mathit{1}}}n-\frac{{\left({\mathit{\_}\mathit{C}\mathit{1}}^{-1}\right)}^{-n}}{\mathit{\_}\mathit{C}\mathit{1}}\}$$