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 = 0.0467017 (sec), leaf count = 215

$$\{\{y(x)\to \frac{1}{5}(2x^3+10\sqrt{x}-5)-\frac{\sqrt{-25c_{1}x-x{(2x^3+10\sqrt{x}-5)}^2-50x(-\frac{4x^{7/2}}{5}-\frac{2x^6}{25}+\frac{2x^3}{5}-2x+2\sqrt{x}+\log (x))}}{5\sqrt{-\frac{1}{x}}x}\},\{y(x)\to \frac{\sqrt{-25c_{1}x-x{(2x^3+10\sqrt{x}-5)}^2-50x(-\frac{4x^{7/2}}{5}-\frac{2x^6}{25}+\frac{2x^3}{5}-2x+2\sqrt{x}+\log (x))}}{5\sqrt{-\frac{1}{x}}x}+\frac{1}{5}(2x^3+10\sqrt{x}-5)\}\}$$

✓ Maple : cpu = 0.066 (sec), leaf count = 49

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