\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =-3/16\,{\frac {y \left ( x \right ) }{{x}^{2} \left ( x-1 \right ) ^{2}}}=0} \]
Mathematica: cpu = 0.041005 (sec), leaf count = 51 \[ \left \{\left \{y(x)\to \frac {2 c_2 (1-x)^{3/4} x^{5/4}}{\sqrt {-(x-1) x}}+c_1 (1-x)^{3/4} \sqrt [4]{x}\right \}\right \} \]
Maple: cpu = 0.032 (sec), leaf count = 25 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{{\frac {3}{4}}}\sqrt [4] {x-1}+{\it \_C2}\,\sqrt [4]{x} \left ( x-1 \right ) ^{{\frac {3}{4}}} \right \} \]