3.275   ODE No. 275

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

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

Mathematica: cpu = 0.024003 (sec), leaf count = 18 $$\text{Solve}[y(x)-{\tan }^{-1}\left(\frac{x}{y(x)}\right)=c_1,y(x)]$$

Maple: cpu = 0.078 (sec), leaf count = 30 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{{\mathrm{e}}^{-2iy\left(x\right)}(ix+y\left(x\right))}{2iy\left(x\right)+2x}=0\}$$