2.428   ODE No. 428

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

$$y^{\prime }(x)(-ay(x)+bx+c)+ax{y}^{\prime }(x{)}^2-by(x)=0$$ ✗ Mathematica : cpu = 300.064 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.073 (sec), leaf count = 85

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