3.391   ODE No. 391

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

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

Mathematica: cpu = 0.005501 (sec), leaf count = 29 $$\{\{y(x)\to c_1{e}^{-ax}\},\{y(x)\to c_1-\frac{b{x}^2}{2}\}\}$$

Maple: cpu = 0.0 (sec), leaf count = 22 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-ax},y\left(x\right)=-\frac{b{x}^2}{2}+\mathit{\_}\mathit{C}\mathit{1}\}$$