\[ -x^2-2 x y(x) y'(x)+3 y(x)^2 y'(x)^2+4 y(x)^2=0 \] ✓ Mathematica : cpu = 0.171909 (sec), leaf count = 76
\[\left \{\left \{y(x)\to -\frac {\sqrt {-3 x^2-4 i e^{3 c_1} x+e^{6 c_1}}}{\sqrt {3}}\right \},\left \{y(x)\to \frac {\sqrt {-3 x^2-4 i e^{3 c_1} x+e^{6 c_1}}}{\sqrt {3}}\right \}\right \}\] ✓ Maple : cpu = 0.528 (sec), leaf count = 203
\[\left \{-c_{1}-\arctanh \left (\frac {\sqrt {\frac {x^{2}-3 y \left (x \right )^{2}}{x^{2}}}}{2}\right )+\ln \left (x \right )+\frac {\ln \left (\frac {x^{2}+y \left (x \right )^{2}}{x^{2}}\right )}{2}+\frac {\sqrt {\frac {x^{2}-3 y \left (x \right )^{2}}{x^{2}}}}{2}-\frac {\sqrt {3}\, \sqrt {\frac {\left (\sqrt {3}\, x +3 y \left (x \right )\right ) \left (\sqrt {3}\, x -3 y \left (x \right )\right )}{x^{2}}}}{6} = 0, -c_{1}+\arctanh \left (\frac {\sqrt {\frac {x^{2}-3 y \left (x \right )^{2}}{x^{2}}}}{2}\right )+\ln \left (x \right )+\frac {\ln \left (\frac {x^{2}+y \left (x \right )^{2}}{x^{2}}\right )}{2}-\frac {\sqrt {\frac {x^{2}-3 y \left (x \right )^{2}}{x^{2}}}}{2}+\frac {\sqrt {3}\, \sqrt {\frac {\left (\sqrt {3}\, x +3 y \left (x \right )\right ) \left (\sqrt {3}\, x -3 y \left (x \right )\right )}{x^{2}}}}{6} = 0, y \left (x \right ) = -\frac {\sqrt {3}\, x}{3}, y \left (x \right ) = \frac {\sqrt {3}\, x}{3}\right \}\]