2.1132   ODE No. 1132

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

\[ a y(x)+2 x y''(x)-(2 x-1) y'(x)=0 \] Mathematica : cpu = 0.0098392 (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 = 0.198 (sec), leaf count = 29

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