2.587   ODE No. 587

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

$$y^{\prime }(x)=\frac{1}{2}\sqrt{x}(2F(y(x)-\frac{x^3}{6})+x^{3/2})$$ ✓ Mathematica : cpu = 251.729 (sec), leaf count = 120

$$\text{Solve}[{\int }_1^{y(x)}-\frac{F(K[2]-\frac{x^3}{6}){\int }_1^x-\frac{K[1{]}^2{F}^{\prime }(K[2]-\frac{K[1{]}^3}{6})}{2F{(K[2]-\frac{K[1{]}^3}{6})}^2}dK[1]+1}{F(K[2]-\frac{x^3}{6})}dK[2]+{\int }_1^x(\frac{K[1{]}^2}{2F(y(x)-\frac{K[1{]}^3}{6})}+\sqrt{K[1]})dK[1]=c_1,y(x)]$$

✓ Maple : cpu = 0.144 (sec), leaf count = 29

$$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}{\left(F(\mathit{\_}\mathit{a}-\frac{x^3}{6})\right)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}-\frac{2}{3}{x}^{\frac{3}{2}}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$