where g(r) is the time ascillation of the solar flux and tc is the time constant, subject to boundary conditions, equations (7,8). Let 0(s,x) and G(s) be the Laplace transforms of 6 v(x,x) and g(r), then equation (13) yields where o is transform parameter. Variation of parameters shows that equation (14) has the particular solution such that the general solution is given by The insulated tip condition, equation (7), results in B = 0, and the convective condition, equation (8), results in parameter A:
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