Question: () Consider the following initial-value problem for an unknown function u = = u(t): du = - 2t36 u, u(0) = 3. dt (a)

() Consider the following initial-value problem for an unknown function u = = u(t): du = - 2t36 u, u(0) = 3. dt (a) Find a formula for u(t) valid near t = 0: ANSWER: u(t) = (b) Find the largest open interval containing t = 0 on which the function in part (a) satisfies the given differential equation. Write your answer in interval notation. ANSWER: The desired interval is

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