3.623   ODE No. 623

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

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

Mathematica: cpu = 0.176522 (sec), leaf count = 77 $$\text{Solve}[44c_1+6\sqrt{33}{\tanh }^{-1}\left(\frac{7x^{3/2}+3y(x)}{\sqrt{33}(x^{3/2}+y(x))}\right)=33(\log (-\frac{3y(x)}{2x^{3/2}}-\frac{3y(x{)}^2}{2x^3}+1)+3\log (x)),y(x)]$$

Maple: cpu = 0.172 (sec), leaf count = 51 $$\{\ln (3x^{3/2}y\left(x\right)-2x^3+3{\left(y\left(x\right)\right)}^2)-\frac{2\sqrt{33}}{11}\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(\frac{\sqrt{33}}{33}(3x^{3/2}+6y\left(x\right))x^{-\frac{3}{2}}\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$