S

is the source term associated with the initial data described by Eq. 2.27.13. In deriving Eq. 2.27.14 and Eq. 2.27.15, the angles t and to are restricted to the range

[0, 2n], and the condition f (t = 0) = f (t = 2n) is used to determine the integration constant. In Eq. 2.27.14 and Eq. 2.27.15

I(t, 0) = exp(- (s + v± + ik//rg cos 0)t - O) - ik±rg sin 0sin(t - O)) (2.27.16)

is the integrating factor for Eq. 2.27.11 where used the notations s = s/Q, v^ = v^/Q, v// = v//lQ, and

L(t,0)=tl(t',0)dt', s = 1 - exp(- 2n(s + v± + ik//rg coso)).(2.27.17)

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