3.379   ODE No. 379

$$\boxed{{\displaystyle {\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-(1+x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.004000 (sec), leaf count = 18 $$\left\{\{y(x)\to c_{1}x-c_1^2+c_1\}\right\}$$

Maple: cpu = 0.422 (sec), leaf count = 27 $$\{y\left(x\right)=\frac{x^2}{4}+\frac{x}{2}+\frac{1}{4},y\left(x\right)=-{\mathit{\_}\mathit{C}\mathit{1}}^2+\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{1}\}$$