3.333   ODE No. 333

$$\boxed{{\displaystyle (2x^{5/2}{\left(y\left(x\right)\right)}^{3/2}+x^{2}y\left(x\right)-x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-x^{3/2}{\left(y\left(x\right)\right)}^{5/2}+x{\left(y\left(x\right)\right)}^2-y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.173022 (sec), leaf count = 72 $$\text{Solve}[\frac{2\sqrt{xy(x)}\log (y(x))}{\sqrt{x}\sqrt{y(x)}}-\frac{\sqrt{xy(x)}(3x^{3/2}y(x{)}^{3/2}\log (x)+6xy(x)-2)}{3x^{2}y(x{)}^2}=c_1,y(x)]$$

Maple: cpu = 0.062 (sec), leaf count = 32 $$\{\ln \left(y\left(x\right)\right)-1\frac{1}{\sqrt{x}}\frac{1}{\sqrt{y\left(x\right)}}+\frac{1}{3}{\left(y\left(x\right)\right)}^{-\frac{3}{2}}{x}^{-\frac{3}{2}}-\frac{\ln \left(x\right)}{2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$