3.592   ODE No. 592

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/5\frac{6x^3+5\sqrt{x}+5F(y\left(x\right)-2/5x^3-2\sqrt{x})}{x}=0}}$$

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

Mathematica: cpu = 248.171514 (sec), leaf count = 238 $$\text{Solve}[{\int }_1^{y(x)}-\frac{F(K[2]-\frac{2x^3}{5}-2\sqrt{x}){\int }_1^x(-\frac{6K[1{]}^2{F}^{\prime }(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+K[2])}{5F{(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+K[2])}^2}-\frac{F^{\prime }(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+K[2])}{\sqrt{K[1]}F{(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+K[2])}^2})dK[1]+1}{F(K[2]-\frac{2x^3}{5}-2\sqrt{x})}dK[2]+{\int }_1^x(\frac{6K[1{]}^2}{5F(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+y(x))}+\frac{1}{\sqrt{K[1]}F(-\frac{2}{5}K[1{]}^3-2\sqrt{K[1]}+y(x))}+\frac{1}{K[1]})dK[1]=c_1,y(x)]$$

Maple: cpu = 0.156 (sec), leaf count = 33 $$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}{\left(F(\mathit{\_}\mathit{a}-\frac{2x^3}{5}-2\sqrt{x})\right)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$