2.1137   ODE No. 1137

\[ l y(x)+4 x y''(x)-(x+2) y(x)+4 y(x)=0 \] Mathematica : cpu = 0.0706303 (sec), leaf count = 74


\[\left \{\left \{y(x)\to \frac {1}{4} c_2 e^{-x/2} x \, _1F_1\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1;2;x\right )+\frac {1}{4} c_1 e^{-x/2} x U\left (\frac {1}{128} (-32 (l+(2-4 i))-128 i)+1,2,x\right )\right \}\right \}\] Maple : cpu = 0.045 (sec), leaf count = 25


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