3.429   ODE No. 429

$$\boxed{{\displaystyle ax{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-(ay\left(x\right)+bx-a-b)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+by\left(x\right)=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.437 (sec), leaf count = 96 $$\{y\left(x\right)=\frac{1}{a}(bx+a+b-2\sqrt{abx+b^{2}x}),y\left(x\right)=\frac{1}{a}(bx+a+b+2\sqrt{abx+b^{2}x}),y\left(x\right)=\frac{(-a{\mathit{\_}\mathit{C}\mathit{1}}^2+\mathit{\_}\mathit{C}\mathit{1}b)x}{-\mathit{\_}\mathit{C}\mathit{1}a+b}+\frac{(-a-b)\mathit{\_}\mathit{C}\mathit{1}}{-\mathit{\_}\mathit{C}\mathit{1}a+b}\}$$