\[ 2 y(x) y''(x)-3 y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0345317 (sec), leaf count = 16
\[\left \{\left \{y(x)\to \frac {c_2}{\left (2 c_1+x\right ){}^2}\right \}\right \}\]
✓ Maple : cpu = 0.054 (sec), leaf count = 13
\[ \left \{ y \left ( x \right ) =4\, \left ( {\it \_C1}\,x+{\it \_C2} \right ) ^{-2} \right \} \]