2.897   ODE No. 897

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

$$y^{\prime }(x)=\frac{\sqrt{x}(-18x^{6}y(x)+108x^{3}y(x{)}^2-108x^{3/2}y(x)+x^9+18x^{9/2}-108x^{3/2}-216y(x{)}^3)}{36x^3-216y(x)-216}$$ ✓ Mathematica : cpu = 0.2022 (sec), leaf count = 79

$$\{\{y(x)\to \frac{1}{6}(x^3-6)-\frac{1}{216(-\frac{1}{216}-\frac{1}{\sqrt{-62208x^{3/2}+c_1}})}\},\{y(x)\to \frac{1}{6}(x^3-6)-\frac{1}{216(-\frac{1}{216}+\frac{1}{\sqrt{-62208x^{3/2}+c_1}})}\}\}$$ ✓ Maple : cpu = 0.175 (sec), leaf count = 87

$$\{y\left(x\right)=(\sqrt{9\mathit{\_}\mathit{C}\mathit{1}-12x^{3/2}}{x}^3-3x^3+18){(6\sqrt{9\mathit{\_}\mathit{C}\mathit{1}-12x^{3/2}}-18)}^{-1},y\left(x\right)=(\sqrt{9\mathit{\_}\mathit{C}\mathit{1}-12x^{3/2}}{x}^3+3x^3-18){(6\sqrt{9\mathit{\_}\mathit{C}\mathit{1}-12x^{3/2}}+18)}^{-1}\}$$