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Problem 4: (10 points) Consider the initial value problem: y4y'60y=0 7 31(0) =3 , y'(0) =6 a For which value of B does the solution

Problem 4: (10 points) Consider the initial value problem: y"4y'60y=0 7 31(0) =3 , y'(0) =6 a For which value of B does the solution satisfy liInt_>00 y(t) = 0 ? b For which value(s) of B is the solution y(t) 7E 0 for all 00

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