Even though x = 0 is an ordinary point of the differential equation, explain why it is

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Even though x = 0 is an ordinary point of the differential equation, explain why it is not a good idea to try to find a solution of the IVP

y'' + xy' + y = 0, y(1) = -6, y'(1) = 3

of the form

y = E=0 Cnx


Using power series, find a better way to solve the problem.

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