1.(4-x^2)y''+2y=0, x0=0 (a) Seek power series solutions of the given differential equation about the given point...

1.(4-x^2)y''+2y=0, x0=0

(a) Seek power series solutions of the given differential equation about the given point x0; find the recurrence relation.

(b) Find the first four terms in each of two solutions y1 and y2 (unless the series terminates sooner)

. (c) By evaluating the Wronskian W(y1, y2)(x0), show that y1 and y2 form a fundamental set of solutions.

(d) If possible, find the general term in each solution.

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Expert Solution

Colby Messinger answered 1 year ago

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