3.377   ODE No. 377

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

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

Mathematica: cpu = 0.006001 (sec), leaf count = 19 $$\left\{\{y(x)\to c_{1}x+c_1^2-2c_1+1\}\right\}$$

Maple: cpu = 0.390 (sec), leaf count = 25 $$\{y\left(x\right)=-\frac{x^2}{4}+x,y\left(x\right)={\mathit{\_}\mathit{C}\mathit{1}}^2+\mathit{\_}\mathit{C}\mathit{1}x-2\mathit{\_}\mathit{C}\mathit{1}+1\}$$