2.1133   ODE No. 1133

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ (2 x-1) y''(x)-(3 x-4) y'(x)+(x-3) y(x)=0 \] Mathematica : cpu = 0.0548494 (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 = 0.192 (sec), leaf count = 37

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