2.1794   ODE No. 1794

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

$$y^{\prime }(x{)}^2(-((2ab-a-b)y(x)+(1-a)b))+ab(y(x)-1)y(x)y^{″}(x)+f(x)(y(x)-1)y(x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.140087 (sec), leaf count = 69

$$\left\{\{y(x)\to \text{InverseFunction}[-a{\mathrm{\#}\text{1}}^{\frac{1}{a}}{}_2{F}_1(\frac{1}{a},1-\frac{1}{b};1+\frac{1}{a};\mathrm{\#}\text{1})\mathrm{\&}][{\int }_1^x\exp (-{\int }_1^{K[3]}\frac{f(K[1])}{ab}dK[1])c_{1}dK[3]+c_2]\}\right\}$$ ✓ Maple : cpu = 0.29 (sec), leaf count = 46

$$\{\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-\frac{fx}{ab}}-\mathit{\_}\mathit{C}\mathit{2}+{\int }^{y\left(x\right)}\frac{\sqrt[a]{\mathit{\_}\mathit{a}}\sqrt[b]{\mathit{\_}\mathit{a}-1}}{\mathit{\_}\mathit{a}(\mathit{\_}\mathit{a}-1)}d\mathit{\_}\mathit{a}=0\}$$