2.1281   ODE No. 1281

\[ 4 x^2 y''(x)+\left (4 x^2-4 x-1\right ) y(x)-4 (2 x-1) x y'(x)=0 \] Mathematica : cpu = 0.0145978 (sec), leaf count = 28


\[\left \{\left \{y(x)\to \frac {c_1 e^x}{\sqrt {x}}+c_2 e^x \sqrt {x}\right \}\right \}\] Maple : cpu = 0.043 (sec), leaf count = 15


\[y \relax (x ) = \frac {{\mathrm e}^{x} \left (x c_{2}+c_{1}\right )}{\sqrt {x}}\]