2.551   ODE No. 551

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

$$y^{\prime }(x{)}^n-f(x{)}^n(y(x)-a{)}^{n+1}(y(x)-b{)}^{n-1}=0$$ ✓ Mathematica : cpu = 0.125296 (sec), leaf count = 86

$$\left\{\{y(x)\to \frac{-b{n}^n-a(a-b{)}^n({\int }_1^x(-1{)}^{1+\frac{1}{n}}f(K[1])dK[1]+c_1){}^n}{-n^n-(a-b{)}^n({\int }_1^x(-1{)}^{1+\frac{1}{n}}f(K[1])dK[1]+c_1){}^n}\}\right\}$$ ✓ Maple : cpu = 1.402 (sec), leaf count = 55

$$\{y\left(x\right)=({(-\frac{n}{(a-b)(\int f\left(x\right)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})})}^{n}b-a){(-1+{(-\frac{n}{(a-b)(\int f\left(x\right)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})})}^n)}^{-1}\}$$