3.375   ODE No. 375

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

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

Mathematica: cpu = 0.062508 (sec), leaf count = 71 $$\{\{y(x)\to \frac{1}{2}(-\frac{{(a^2-4bx)}^{3/2}}{6b}-ax)+c_1\},\{y(x)\to \frac{1}{2}(\frac{{(a^2-4bx)}^{3/2}}{6b}-ax)+c_1\}\}$$

Maple: cpu = 0.468 (sec), leaf count = 49 $$\{y\left(x\right)=-\frac{ax}{2}-\frac{1}{12b}{(a^2-4bx)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=-\frac{ax}{2}+\frac{1}{12b}{(a^2-4bx)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1}\}$$