2.223   ODE No. 223

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

$$(2y(x)-x)y^{\prime }(x)-y(x)-2x=0$$ ✓ Mathematica : cpu = 0.0252986 (sec), leaf count = 55

$$\{\{y(x)\to \frac{1}{2}(x-\sqrt{5x^2-4e^{c_1}})\},\{y(x)\to \frac{1}{2}(\sqrt{5x^2-4e^{c_1}}+x)\}\}$$

✓ Maple : cpu = 0.145 (sec), leaf count = 53

$$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}(\frac{\mathit{\_}\mathit{C}\mathit{1}x}{2}-\frac{1}{2}\sqrt{5{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+4}),y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}(\frac{\mathit{\_}\mathit{C}\mathit{1}x}{2}+\frac{1}{2}\sqrt{5{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+4})\}$$