2.554   ODE No. 554

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

$$x^{n-1}{y}^{\prime }(x{)}^n-nx{y}^{\prime }(x)+y(x)=0$$ ✓ Mathematica : cpu = 0.0963611 (sec), leaf count = 49

$$\text{Solve}[\{y(x)=\frac{\text{K}\mathrm{\$}\text{125468}n{x}^2-{\text{K}\mathrm{\$}\text{125468}}^n{x}^n}{x},x=c_1(\text{K}\mathrm{\$}\text{125468}-\text{K}\mathrm{\$}\text{125468}n{)}^{\frac{n}{1-n}}\},\{y(x),\text{K}\mathrm{\$}\text{125468}\}]$$ ✓ Maple : cpu = 1.385 (sec), leaf count = 32

$$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}({\mathit{\_}\mathit{C}\mathit{1}}^2\sqrt[n]{\frac{x}{\mathit{\_}\mathit{C}\mathit{1}}}n-{\left({\mathit{\_}\mathit{C}\mathit{1}}^{-1}\right)}^{-n})\}$$