\[ \sqrt {x} y''(x)-y(x)^{3/2}=0 \] ✗ Mathematica : cpu = 21.4743 (sec), leaf count = 0
DSolve[-y[x]^(3/2) + Sqrt[x]*Derivative[2][y][x] == 0,y[x],x]
, could not solve
DSolve[-y[x]^(3/2) + Sqrt[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(y(x),x),x)*x^(1/2)-y(x)^(3/2)=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \left (\textit {\_a} \,{\mathrm e}^{\int -3 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -3 c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=\left (-\textit {\_a}^{\frac {3}{2}}+12 \textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}-7 \textit {\_}b\left (\textit {\_a} \right )^{2}\right \}, \left \{\textit {\_a} =x^{3} y \left (x \right ), \textit {\_}b\left (\textit {\_a} \right )=\frac {1}{x^{3} \left (x \left (\frac {d}{d x}y \left (x \right )\right )+3 y \left (x \right )\right )}\right \}, \left \{x ={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}, y \left (x \right )=\textit {\_a} \,{\mathrm e}^{\int -3 \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -3 c_{1}}\right \}\right ]\]