\[ 3 x^2 y''(x)^2+4 y'(x)^2-2 \left (3 x y'(x)+y(x)\right ) y''(x)=0 \] ✓ Mathematica : cpu = 0.0052926 (sec), leaf count = 24
\[\left \{\left \{y(x)\to \frac {c_1{}^2 x^2}{c_2}+c_1 x+c_2\right \}\right \}\] ✓ Maple : cpu = 0.589 (sec), leaf count = 36
\[y \relax (x ) = x^{\frac {2 \sqrt {3}}{3}} c_{1} x\]