2.439   ODE No. 439

\[ x^2 y'(x)^2+3 x y(x) y'(x)+3 y(x)^2=0 \] Mathematica : cpu = 0.0473524 (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 = 0.065 (sec), leaf count = 33


\[y \relax (x ) = \frac {c_{1} x^{-\frac {i \sqrt {3}}{2}}}{x^{\frac {3}{2}}}\]