3.19   ODE No. 19

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

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

Mathematica: cpu = 0.009001 (sec), leaf count = 30 $$\left\{\{y(x)\to \frac{1}{c_1{e}^{2ix}-\frac{i}{2}}-x-i\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 16 $$\{y\left(x\right)=-x-\tan (-x+\mathit{\_}\mathit{C}\mathit{1})\}$$

Sage: cpu = 0.052 (sec), leaf count = 0 $$[[[x=c-\arctan \left(\sqrt{t}\right),y\left(x\right)=-x-\sqrt{t}],[x=c+\arctan \left(\sqrt{t}\right),y\left(x\right)=-x+\sqrt{t}]],\mathtt{\text{lagrange}}]$$