\[ 2 y(x) y''(x)-3 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.105101 (sec), leaf count = 16
DSolve[-3*Derivative[1][y][x]^2 + 2*y[x]*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_2}{(x+2 c_1){}^2}\right \}\right \}\] ✓ Maple : cpu = 0.956 (sec), leaf count = 13
dsolve(2*diff(diff(y(x),x),x)*y(x)-3*diff(y(x),x)^2=0,y(x))
\[y \left (x \right ) = \frac {4}{\left (c_{1} x +c_{2}\right )^{2}}\]