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Use a power series centered about the ordinary point x0 = 0 to solve the differential...

Use a power series centered about the ordinary point x0 = 0 to solve the differential equation

(x − 4)y′′ − y′ + 12xy = 0
Find the recurrence relation and at least the first four nonzero terms of each of the two linearly inde-

pendent solutions (unless the series terminates sooner).

What is the guaranteed radius of convergence?

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