2.872   ODE No. 872

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

$$y^{\prime }(x)=\frac{14x^{7/2}+\frac{12x^6}{5}-6x^{3}y(x)-6x^3-5\sqrt{x}y(x)+10x-5\sqrt{x}-5}{x(2x^3-5y(x)+10\sqrt{x}-5)}$$ ✓ Mathematica : cpu = 0.0511312 (sec), leaf count = 92

$$\{\{y(x)\to \sqrt{-\frac{1}{x}}\sqrt{-x(c_1+2\log (x)+1)}+\frac{2x^3}{5}+2\sqrt{x}-1\},\{y(x)\to {(-\frac{1}{x})}^{3/2}x\sqrt{-x(c_1+2\log (x)+1)}+\frac{2x^3}{5}+2\sqrt{x}-1\}\}$$

✓ Maple : cpu = 0.07 (sec), leaf count = 49

$$\{y\left(x\right)=\frac{2x^3}{5}+2\sqrt{x}-\sqrt{\mathit{\_}\mathit{C}\mathit{1}+2\ln \left(x\right)}-1,y\left(x\right)=\frac{2x^3}{5}+2\sqrt{x}+\sqrt{\mathit{\_}\mathit{C}\mathit{1}+2\ln \left(x\right)}-1\}$$