2.730   ODE No. 730

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

$$y^{\prime }(x)=\frac{e^x{(2y(x{)}^{3/2}-3e^x)}^3}{4\sqrt{y(x)}(2y(x{)}^{3/2}-3e^x+2)}$$ ✗ Mathematica : cpu = 48.816 (sec), leaf count = 0 , could not solve

DSolve[Derivative[1][y][x] == (E^x*(-3*E^x + 2*y[x]^(3/2))^3)/(4*Sqrt[y[x]]*(2 - 3*E^x + 2*y[x]^(3/2))), y[x], x]

✓ Maple : cpu = 1.975 (sec), leaf count = 49

$$\{{\mathrm{e}}^x-{\int }^{{\left(y\left(x\right)\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2}}\frac{2\mathit{\_}\mathit{a}}{3{\mathit{\_}\mathit{a}}^3-3\mathit{\_}\mathit{a}-3}+\frac{2}{3{\mathit{\_}\mathit{a}}^3-3\mathit{\_}\mathit{a}-3}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$