2.882   ODE No. 882

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

$$y^{\prime }(x)=-\frac{1}{216}\sqrt{x}(-108x^{3/2}+x^9-18x^{6}y(x)-6x^6+108x^{3}y(x{)}^2+72x^{3}y(x)-216y(x{)}^3-216y(x{)}^2-216)$$ ✓ Mathematica : cpu = 0.0757981 (sec), leaf count = 119

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{1}{2}(2\sqrt{x}-x^{7/2})+3\sqrt{x}y(x)}{\sqrt[3]{29}\sqrt[3]{x^{3/2}}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=c_1+\frac{2}{27}{29}^{2/3}\sqrt{x}{\left(x^{3/2}\right)}^{2/3},y(x)]$$

✓ Maple : cpu = 0.06 (sec), leaf count = 41

$$\{y\left(x\right)=\frac{x^3}{6}-\frac{1}{3}+\frac{29}{9}\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(2x^{3/2}-243{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+9\mathit{\_}\mathit{C}\mathit{1})\}$$