2.955   ODE No. 955

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

$$y^{\prime }(x)=\frac{-\frac{12}{5}{x}^{6}y(x)-24x^{7/2}y(x)+6x^{3}y(x{)}^2-6x^{3}y(x)+\frac{8x^9}{25}+\frac{24x^{13/2}}{5}+\frac{12x^6}{5}+24x^4+14x^{7/2}-6x^3+40x^{3/2}-60xy(x)+30\sqrt{x}y(x{)}^2-5\sqrt{x}y(x)-5y(x{)}^3+10x-5\sqrt{x}}{x(2x^3-5y(x)+10\sqrt{x}-5)}$$ ✓ Mathematica : cpu = 0.321636 (sec), leaf count = 112

$$\{\{y(x)\to \frac{1}{5}(2x^3+10\sqrt{x}-5)-\frac{1}{125x(-\frac{1}{125x}-\frac{1}{x\sqrt{-31250\log (x)+c_1}})}\},\{y(x)\to \frac{1}{5}(2x^3+10\sqrt{x}-5)-\frac{1}{125x(-\frac{1}{125x}+\frac{1}{x\sqrt{-31250\log (x)+c_1}})}\}\}$$ ✓ Maple : cpu = 0.143 (sec), leaf count = 101

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