2.333   ODE No. 333

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

$$-x^{3/2}y(x{)}^{5/2}+(2x^{5/2}y(x{)}^{3/2}+x^{2}y(x)-x)y^{\prime }(x)+xy(x{)}^2-y(x)=0$$ ✓ Mathematica : cpu = 0.169251 (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 = 0.099 (sec), leaf count = 32

$$\{\ln \left(y\left(x\right)\right)+\frac{1}{3}{\left(y\left(x\right)\right)}^{-\frac{3}{2}}{x}^{-\frac{3}{2}}-1\frac{1}{\sqrt{x}}\frac{1}{\sqrt{y\left(x\right)}}-\frac{\ln \left(x\right)}{2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$