\[ 9 (x-1) x y''(x)+3 (2 x-1) y'(x)-20 y(x)=0 \] ✓ Mathematica : cpu = 0.0131003 (sec), leaf count = 83
DSolve[-20*y[x] + 3*(-1 + 2*x)*Derivative[1][y][x] + 9*(-1 + x)*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 \sqrt [3]{1-x} \sqrt [3]{x} Q_1^{\frac {2}{3}}(2 x-1)-\frac {c_1 (2-2 x)^{2/3} \sqrt [3]{1-x} x^{2/3} (6 x-5)}{3\ 2^{2/3} (x-1) \Gamma \left (\frac {4}{3}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.02 (sec), leaf count = 27
dsolve(9*x*(x-1)*diff(diff(y(x),x),x)+3*(2*x-1)*diff(y(x),x)-20*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \left (6 x -5\right ) x^{\frac {2}{3}}+c_{2} \left (6 x -1\right ) \left (x -1\right )^{\frac {2}{3}}\]