2.429   ODE No. 429

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

$$-y^{\prime }(x)(ay(x)-a+bx-b)+ax{y}^{\prime }(x{)}^2+by(x)=0$$ ✓ Mathematica : cpu = 0.0296383 (sec), leaf count = 26

$$\left\{\{y(x)\to \frac{c_1(a+b)}{-b+a{c}_1}+c_{1}x\}\right\}$$ ✓ Maple : cpu = 0.092 (sec), leaf count = 72

$$\{y\left(x\right)=\frac{1}{a}(bx+a+b-2\sqrt{bx(a+b)}),y\left(x\right)=\frac{1}{a}(bx+a+b+2\sqrt{bx(a+b)}),y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}(\mathit{\_}\mathit{C}\mathit{1}ax-bx+a+b)}{\mathit{\_}\mathit{C}\mathit{1}a-b}\}$$