3.378   ODE No. 378

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

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

Mathematica: cpu = 0.004501 (sec), leaf count = 18 $$\left\{\{y(x)\to a{c}_1+c_{1}x+c_1^2\}\right\}$$

Maple: cpu = 0.452 (sec), leaf count = 32 $$\{y\left(x\right)=-\frac{x^2}{4}-\frac{ax}{2}-\frac{a^2}{4},y\left(x\right)={\mathit{\_}\mathit{C}\mathit{1}}^2+\mathit{\_}\mathit{C}\mathit{1}a+\mathit{\_}\mathit{C}\mathit{1}x\}$$