\[ \sqrt {x} y''(x)-y(x)^{3/2}=0 \] ✗ Mathematica : cpu = 21.7667 (sec), leaf count = 0 , could not solve
DSolve[-y[x]^(3/2) + Sqrt[x]*Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 2.916 (sec), leaf count = 99
\[\left \{y \left (x \right ) = \mathit {ODESolStruc} \left (\textit {\_a} \,{\mathrm e}^{-3 c_{1}+\int -3 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}, \left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-\textit {\_a}^{\frac {3}{2}} \textit {\_}b\left (\textit {\_a} \right )^{3}+12 \textit {\_a} \textit {\_}b\left (\textit {\_a} \right )^{3}-7 \textit {\_}b\left (\textit {\_a} \right )^{2}\right \}, \left \{\textit {\_a} =x^{3} y \left (x \right ), \textit {\_}b\left (\textit {\_a} \right )=\frac {1}{\left (x \left (\frac {d}{d x}y \left (x \right )\right )+3 y \left (x \right )\right ) x^{3}}\right \}, \left \{x ={\mathrm e}^{c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}, y \left (x \right )=\textit {\_a} \,{\mathrm e}^{-3 c_{1}+\int -3 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a}}\right \}\right ]\right )\right \}\]