2.980   ODE No. 980

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

$$y^{\prime }(x)=\frac{x^{3}y(x{)}^3+6x^{2}y(x{)}^2+12xy(x)+2x+8}{x^3}$$ ✓ Mathematica : cpu = 0.0157103 (sec), leaf count = 44

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

✓ Maple : cpu = 0.02 (sec), leaf count = 35

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