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  3. 1.(4-x^2)y''+2y=0, x0=0 (a) seek power series solu

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

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Advance Math

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

(a) Seek power series solutions of the given differentialequation about the given point x0; find the recurrencerelation.

(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 y1and y2 form a fundamental set of solutions.

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

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