\[ a y(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0079229 (sec), leaf count = 77
\[\left \{\left \{y(x)\to c_1 x^{\frac {1}{2} \left (\frac {1}{\sqrt {a}}-\frac {\sqrt {1-4 a}}{\sqrt {a}}\right ) \sqrt {a}}+c_2 x^{\frac {1}{2} \left (\frac {\sqrt {1-4 a}}{\sqrt {a}}+\frac {1}{\sqrt {a}}\right ) \sqrt {a}}\right \}\right \}\] ✓ Maple : cpu = 0.054 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{{\frac {1}{2}}+{\frac {1}{2}\sqrt {1-4\,a}}}+{\it \_C2}\,{x}^{{\frac {1}{2}}-{\frac {1}{2}\sqrt {1-4\,a}}} \right \} \]