3.955   ODE No. 955

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/25\frac{-150x^{3}y\left(x\right)+60x^6+350x^{7/2}-150x^3-125y\left(x\right)\sqrt{x}+250x-125\sqrt{x}-125{\left(y\left(x\right)\right)}^3+150x^3{\left(y\left(x\right)\right)}^2+750{\left(y\left(x\right)\right)}^2\sqrt{x}-60y\left(x\right)x^6-600y\left(x\right)x^{7/2}-1500xy\left(x\right)+8x^9+120x^{13/2}+600x^4+1000x^{3/2}}{(-5y\left(x\right)+2x^3+10\sqrt{x}-5)x}=0}}$$

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

Mathematica: cpu = 0.043006 (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 = 0.078 (sec), leaf count = 111 $$\{y\left(x\right)=\frac{1}{5}(2\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}{x}^3-2x^3+10\sqrt{x}\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}-10\sqrt{x}+5){(-1+\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)})}^{-1},y\left(x\right)=\frac{1}{5}(2\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}{x}^3+2x^3+10\sqrt{x}\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}+10\sqrt{x}-5){(1+\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)})}^{-1}\}$$