\[ x^2 y'(x)^2+3 x y(x) y'(x)+3 y(x)^2=0 \] ✓ Mathematica : cpu = 0.0353339 (sec), leaf count = 49
\[\left \{\left \{y(x)\to c_1 x^{\frac {1}{2} \left (-3-i \sqrt {3}\right )}\right \},\left \{y(x)\to c_1 x^{\frac {1}{2} i \left (\sqrt {3}+3 i\right )}\right \}\right \}\] ✓ Maple : cpu = 0.102 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={{\it \_C1}\,{x}^{-{\frac {i}{2}}\sqrt {3}}{x}^{-{\frac {3}{2}}}},y \left ( x \right ) ={{\it \_C1}\,{x}^{{\frac {i}{2}}\sqrt {3}}{x}^{-{\frac {3}{2}}}} \right \} \]