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