\[ 2 y(x) y''(x)-3 y'(x)^2-4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.12082 (sec), leaf count = 17
\[\left \{\left \{y(x)\to c_2 \sec ^2(x+2 c_1)\right \}\right \}\] ✓ Maple : cpu = 0.938 (sec), leaf count = 34
\[y \relax (x ) = \frac {4}{\left (c_{1}^{2}-c_{2}^{2}\right ) \left (\sin ^{2}\relax (x )\right )-2 c_{1} c_{2} \sin \relax (x ) \cos \relax (x )+c_{2}^{2}}\]