2.236   ODE No. 236

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

$$x(y(x)+4)y^{\prime }(x)-y(x{)}^2-2y(x)-2x=0$$ ✓ Mathematica : cpu = 0.0172545 (sec), leaf count = 114

$$\{\{y(x)\to \frac{1}{x(\frac{1}{x^2+4x}-\frac{e^{-2(\frac{\log (x)}{4}+\frac{3}{4}\log (x+4))}}{\sqrt{c_1-\frac{4}{x+4}}})}-4\},\{y(x)\to \frac{1}{x(\frac{e^{-2(\frac{\log (x)}{4}+\frac{3}{4}\log (x+4))}}{\sqrt{c_1-\frac{4}{x+4}}}+\frac{1}{x^2+4x})}-4\}\}$$

✓ Maple : cpu = 0.062 (sec), leaf count = 147

$$\{y\left(x\right)=-1(-{(x+4)}^{\frac{3}{2}}\sqrt{\frac{\mathit{\_}\mathit{C}\mathit{1}x+4\mathit{\_}\mathit{C}\mathit{1}-4}{x+4}}x+4x^{3/2}+16\sqrt{x}){({(x+4)}^{\frac{3}{2}}\sqrt{\frac{\mathit{\_}\mathit{C}\mathit{1}x+4\mathit{\_}\mathit{C}\mathit{1}-4}{x+4}}+x^{\frac{3}{2}}+4\sqrt{x})}^{-1},y\left(x\right)=-1({(x+4)}^{\frac{3}{2}}\sqrt{\frac{\mathit{\_}\mathit{C}\mathit{1}x+4\mathit{\_}\mathit{C}\mathit{1}-4}{x+4}}x+4x^{3/2}+16\sqrt{x}){(-{(x+4)}^{\frac{3}{2}}\sqrt{\frac{\mathit{\_}\mathit{C}\mathit{1}x+4\mathit{\_}\mathit{C}\mathit{1}-4}{x+4}}+x^{\frac{3}{2}}+4\sqrt{x})}^{-1}\}$$