\[ (152 x-40) y'(x)+48 (x-1) x y''(x)+53 y(x)=0 \] ✓ Mathematica : cpu = 0.0638083 (sec), leaf count = 92
\[\left \{\left \{y(x)\to c_1 \, _2F_1\left (\frac {13}{12}-\frac {\sqrt {\frac {5}{2}}}{6},\frac {13}{12}+\frac {\sqrt {\frac {5}{2}}}{6};\frac {5}{6};x\right )+\sqrt [6]{-1} c_2 \sqrt [6]{x} \, _2F_1\left (\frac {5}{4}-\frac {\sqrt {\frac {5}{2}}}{6},\frac {5}{4}+\frac {\sqrt {\frac {5}{2}}}{6};\frac {7}{6};x\right )\right \}\right \}\] ✓ Maple : cpu = 0.309 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{\mbox {$_2$F$_1$}({\frac {13}{12}}-{\frac {\sqrt {10}}{12}},{\frac {13}{12}}+{\frac {\sqrt {10}}{12}};\,{\frac {5}{6}};\,x)}+{\it \_C2}\,\sqrt [6]{x}{\mbox {$_2$F$_1$}({\frac {5}{4}}-{\frac {\sqrt {10}}{12}},{\frac {5}{4}}+{\frac {\sqrt {10}}{12}};\,{\frac {7}{6}};\,x)} \right \} \]