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OpenStudy (anonymous):
What theorem allows us to use power series to solve differential equations?
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OpenStudy (anonymous):
It is something like, If p and q are analytic for |x-x_0| <R Then every solution of y'' + p(x)y' + q(x)y = f(x), defined at x = x_0, is analytic, at least for | x- x_0| <R. Got this off a MIT video on youtube but I am assuming it was paraphrased
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