2.66   ODE No. 66

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

$$y^{\prime }(x)-\frac{\sqrt{|(1-y(x))y(x)(1-ay(x))|}}{\sqrt{|(1-x)x(1-ax)|}}=0$$ ✓ Mathematica : cpu = 0.152548 (sec), leaf count = 67

$$\left\{\{y(x)\to \text{InverseFunction}[{\int }_1^{\mathrm{\#}\text{1}}\frac{1}{\sqrt{|(1-K[1])K[1](1-aK[1])|}}dK[1]\mathrm{\&}][{\int }_1^x\frac{1}{\sqrt{|(1-K[2])K[2](1-aK[2])|}}dK[2]+c_1]\}\right\}$$ ✓ Maple : cpu = 0.089 (sec), leaf count = 40

$$\{\int \frac{1}{\sqrt{\left|x(x-1)(ax-1)\right|}}\mathrm{d}x-{\int }^{y\left(x\right)}\frac{1}{\sqrt{\left|\mathit{\_}\mathit{a}(\mathit{\_}\mathit{a}-1)(\mathit{\_}\mathit{a}a-1)\right|}}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$