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Consider the initial value problem (1- 12 ) y' + zy ty= 0, y(0)= 2,1(0)=1 and look for its power series solution y(z) = Zakk

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Consider the initial value problem (1- 12 ) y' + zy ty= 0, y(0)= 2,1(0)=1 and look for its power series solution y(z) = Zakk (i) (10 points) Find the recurrence relations (ii) ( 8 points) Find the fist five non zero terms of the solution (iii) ( 2 points) On what interval the power series solution is convergent? HTML BBtongs

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