2.955   ODE No. 955

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

$$y^{\prime }(x)=\frac{-24x^{7/2}y(x)+\frac{24x^{13/2}}{5}+14x^{7/2}+40x^{3/2}+\frac{8x^9}{25}-\frac{12}{5}{x}^{6}y(x)+\frac{12x^6}{5}+24x^4+6x^{3}y(x{)}^2-6x^{3}y(x)-6x^3-60xy(x)+30\sqrt{x}y(x{)}^2-5\sqrt{x}y(x)-5y(x{)}^3+10x-5\sqrt{x}}{x(2x^3-5y(x)+10\sqrt{x}-5)}$$ ✓ Mathematica : cpu = 0.143888 (sec), leaf count = 73

$$\{\{y(x)\to -\frac{125}{\sqrt{c_1-31250\log (x)}+125}+\frac{2x^3}{5}+2\sqrt{x}\},\{y(x)\to \frac{125}{\sqrt{c_1-31250\log (x)}-125}+\frac{2x^3}{5}+2\sqrt{x}\}\}$$

✓ Maple : cpu = 0.113 (sec), leaf count = 101

$$\{y\left(x\right)=1((2x^3+10\sqrt{x})\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}-2x^3-10\sqrt{x}+5){(5\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}-5)}^{-1},y\left(x\right)=1((2x^3+10\sqrt{x})\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}+2x^3+10\sqrt{x}-5){(5\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}+5)}^{-1}\}$$