2.1132   ODE No. 1132

\[ a y(x)+2 x y''(x)-(2 x-1) y'(x)=0 \] Mathematica : cpu = 0.0084256 (sec), leaf count = 48


\[\left \{\left \{y(x)\to c_1 \sqrt {x} U\left (\frac {1-a}{2},\frac {3}{2},x\right )+c_2 \sqrt {x} L_{\frac {a-1}{2}}^{\frac {1}{2}}(x)\right \}\right \}\] Maple : cpu = 0.079 (sec), leaf count = 29


\[y \relax (x ) = \sqrt {x}\, \left (\KummerU \left (-\frac {a}{2}+\frac {1}{2}, \frac {3}{2}, x\right ) c_{2}+\KummerM \left (-\frac {a}{2}+\frac {1}{2}, \frac {3}{2}, x\right ) c_{1}\right )\]