2.1134   ODE No. 1134

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

\[ (-a-x) y(x)+4 x y''(x)=0 \] Mathematica : cpu = 0.0808838 (sec), leaf count = 78

\[\left \{\left \{y(x)\to \frac {1}{4} c_2 e^{-x/2} x \, _1F_1\left (\frac {1}{128} (-32 (-a-4 i)-128 i)+1;2;x\right )+\frac {1}{4} c_1 e^{-x/2} x U\left (\frac {1}{128} (-32 (-a-4 i)-128 i)+1,2,x\right )\right \}\right \}\] Maple : cpu = 0.045 (sec), leaf count = 21

\[\left \{y \left (x \right ) = c_{1} \WhittakerM \left (-\frac {a}{4}, \frac {1}{2}, x\right )+c_{2} \WhittakerW \left (-\frac {a}{4}, \frac {1}{2}, x\right )\right \}\]