\[ y'(x)=\frac {e^x \left (2 y(x)^{3/2}-3 e^x\right )^3}{4 \sqrt {y(x)} \left (2 y(x)^{3/2}-3 e^x+2\right )} \] ✗ Mathematica : cpu = 50.4353 (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 = 1.892 (sec), leaf count = 41
\[ \left \{ {{\rm e}^{x}}-\int ^{ \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}-{\frac {3\,{{\rm e}^{x}}}{2}}}\!{\frac {2+2\,{\it \_a}}{3\,{{\it \_a}}^{3}-3\,{\it \_a}-3}}{d{\it \_a}}-{\it \_C1}=0 \right \} \]