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•• Write down the θ equation (8.65) for the special case that l = m = 0. (a) Verify that ϴ = constant is a solution. (b) Verify that a second solution is ϴ = ln[(1 + cos θ)/(1 − cos θ)], and show that this is infinite when θ = 0 or π (and hence is unacceptable), (c) Since the θ equation is a second-order differential equation, any solution must be a linear combination of these two. Write down the general solution, and prove that the only acceptable solution is ϴ = constant.
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