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Question 5 @0/1 pt O Solve the second order linear homogeneous differential equation y* - 3y' - 9y = 0 using the Power Series Method.

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Question 5 @0/1 pt O Solve the second order linear homogeneous differential equation y"* - 3y' - 9y = 0 using the Power Series Method. (That is, start setting Cur" and Ca, C3, . . . should be written in terms of Co and C1). n=1 1) Write down Ca, Cs and Ca, respectively, in terms of Go and Ci 2 ) Derive a recurrence relation giving Ca + 2 for n 2 0 in terms of Go and Oj (or both) for n > 0 3) Write your general solution upto r term

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