\[ 2 y(x) y''(x)-3 y'(x)^2-4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.0930754 (sec), leaf count = 17
\[\left \{\left \{y(x)\to c_2 \sec ^2\left (2 c_1+x\right )\right \}\right \}\]
✓ Maple : cpu = 0.07 (sec), leaf count = 39
\[ \left \{ y \left ( x \right ) =-4\, \left ( 2\,{\it \_C1}\,{\it \_C2}\,\sin \left ( x \right ) \cos \left ( x \right ) -{{\it \_C1}}^{2} \left ( \sin \left ( x \right ) \right ) ^{2}+{{\it \_C2}}^{2} \left ( \sin \left ( x \right ) \right ) ^{2}-{{\it \_C2}}^{2} \right ) ^{-1} \right \} \]