2.897   ODE No. 897

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

$$y^{\prime }(x)=\frac{\sqrt{x}(-108x^{3/2}y(x)+18x^{9/2}-108x^{3/2}+x^9-18x^{6}y(x)+108x^{3}y(x{)}^2-216y(x{)}^3)}{36x^3-216y(x)-216}$$ ✓ Mathematica : cpu = 0.0281557 (sec), leaf count = 79

$$\{\{y(x)\to \frac{1}{6}(x^3-6)-\frac{1}{216(-\frac{1}{\sqrt{c_1-62208x^{3/2}}}-\frac{1}{216})}\},\{y(x)\to \frac{1}{6}(x^3-6)-\frac{1}{216(\frac{1}{\sqrt{c_1-62208x^{3/2}}}-\frac{1}{216})}\}\}$$

✓ Maple : cpu = 0.077 (sec), leaf count = 85

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