2.1133   ODE No. 1133

\[ (2 x-1) y''(x)-(3 x-4) y'(x)+(x-3) y(x)=0 \] Mathematica : cpu = 0.047766 (sec), leaf count = 52


\[\left \{\left \{y(x)\to 2^{5/8} c_1 e^{x-\frac {1}{2}}-\frac {c_2 e^{x-\frac {1}{2}} \Gamma \left (-\frac {1}{4},\frac {1}{4} (2 x-1)\right )}{4 \sqrt [8]{2}}\right \}\right \}\] Maple : cpu = 0.093 (sec), leaf count = 37


\[y \relax (x ) = \frac {{\mathrm e}^{\frac {x}{2}} \left (\KummerU \left (1, \frac {3}{4}, \frac {x}{2}-\frac {1}{4}\right ) c_{2}+\KummerM \left (1, \frac {3}{4}, \frac {x}{2}-\frac {1}{4}\right ) c_{1}\right )}{\left (2 x -1\right )^{\frac {1}{4}}}\]