\[ 2 a^2 x+2 x^2 y'(x)-2 y(x)^2-3 x y(x)=0 \] ✓ Mathematica : cpu = 0.125241 (sec), leaf count = 131
\[\left \{\left \{y(x)\to -\frac {x^2 \left (-\frac {e^{\frac {2 a}{\sqrt {x}}}}{4 a \sqrt {x}}+\frac {e^{\frac {2 a}{\sqrt {x}}}}{2 x}+c_1 \left (\frac {a e^{-\frac {2 a}{\sqrt {x}}}}{x}+\frac {e^{-\frac {2 a}{\sqrt {x}}}}{2 \sqrt {x}}\right )\right )}{-\frac {\sqrt {x} e^{\frac {2 a}{\sqrt {x}}}}{2 a}+c_1 \sqrt {x} e^{-\frac {2 a}{\sqrt {x}}}}\right \}\right \}\] ✓ Maple : cpu = 0.149 (sec), leaf count = 100
\[ \left \{ y \left ( x \right ) ={ \left ( -x \left ( {\it \_C1}-2\,\sqrt {-{\frac {{a}^{2}}{x}}} \right ) \cos \left ( 2\,\sqrt {-{\frac {{a}^{2}}{x}}} \right ) -2\,\sin \left ( 2\,\sqrt {-{\frac {{a}^{2}}{x}}} \right ) \left ( {\it \_C1}\,\sqrt {-{\frac {{a}^{2}}{x}}}+1/2 \right ) x \right ) \left ( 2\,\cos \left ( 2\,\sqrt {-{\frac {{a}^{2}}{x}}} \right ) {\it \_C1}+2\,\sin \left ( 2\,\sqrt {-{\frac {{a}^{2}}{x}}} \right ) \right ) ^{-1}} \right \} \]