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 = 0.041723 (sec), leaf count = 112

$$\{\{y(x)\to \frac{1}{5}(2x^3+10\sqrt{x}-5)-\frac{1}{125x(-\frac{1}{x\sqrt{c_1-31250\log (x)}}-\frac{1}{125x})}\},\{y(x)\to \frac{1}{5}(2x^3+10\sqrt{x}-5)-\frac{1}{125x(\frac{1}{x\sqrt{c_1-31250\log (x)}}-\frac{1}{125x})}\}\}$$

✓ Maple : cpu = 0.112 (sec), leaf count = 111

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