3.428   ODE No. 428

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

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

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

Maple: cpu = 0.546 (sec), leaf count = 85 $$\{y\left(x\right)=\frac{1}{a}(-bx+c-2\sqrt{-bcx}),y\left(x\right)=\frac{1}{a}(-bx+c+2\sqrt{-bcx}),y\left(x\right)=-\frac{(a{\mathit{\_}\mathit{C}\mathit{1}}^2+\mathit{\_}\mathit{C}\mathit{1}b)x}{-\mathit{\_}\mathit{C}\mathit{1}a-b}-\frac{c\mathit{\_}\mathit{C}\mathit{1}}{-\mathit{\_}\mathit{C}\mathit{1}a-b}\}$$