\[ ((4 a+2) x-a) y'(x)+(a-1) a y(x)+x (4 x-1) y''(x)=0 \] ✓ Mathematica : cpu = 0.331756 (sec), leaf count = 134
\[\left \{\left \{y(x)\to \frac {2 c_1 \sqrt [4]{4 x-1} x^{\frac {1}{2}-\frac {a}{2}} e^{\sqrt {-(a-1)^2} \tan ^{-1}\left (\sqrt {4 x-1}\right )}}{\sqrt [4]{1-4 x}}-\frac {c_2 \sqrt [4]{4 x-1} x^{\frac {1}{2}-\frac {a}{2}} e^{-\sqrt {-(a-1)^2} \tan ^{-1}\left (\sqrt {4 x-1}\right )}}{2 \sqrt {-(a-1)^2} \sqrt [4]{1-4 x}}\right \}\right \}\] ✓ Maple : cpu = 0.141 (sec), leaf count = 52
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{\mbox {$_2$F$_1$}({\frac {a}{2}},{\frac {a}{2}}-{\frac {1}{2}};\,a;\,4\,x)}+{\it \_C2}\,{x}^{1-a}{\mbox {$_2$F$_1$}(-{\frac {a}{2}}+1,-{\frac {a}{2}}+{\frac {1}{2}};\,-a+2;\,4\,x)} \right \} \]