8.20   ODE No. 1610

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.203 (sec), leaf count = 92 $$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)-2{\int }^{\mathit{\_}\mathit{Z}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}+8\int h\left(\mathit{\_}\mathit{g}\right)\mathrm{d}\mathit{\_}\mathit{g}+{\mathit{\_}\mathit{g}}^2}}d\mathit{\_}\mathit{g}+2\mathit{\_}\mathit{C}\mathit{2})\sqrt{x},y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+2{\int }^{\mathit{\_}\mathit{Z}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}+8\int h\left(\mathit{\_}\mathit{g}\right)\mathrm{d}\mathit{\_}\mathit{g}+{\mathit{\_}\mathit{g}}^2}}d\mathit{\_}\mathit{g}+2\mathit{\_}\mathit{C}\mathit{2})\sqrt{x},y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\mathit{\_}\mathit{Z}{x}^{\frac{3}{2}}+4h\left(\frac{\mathit{\_}\mathit{Z}}{\sqrt{x}}\right)x^2)\}$$