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Please answer both questions with both solutions Assume that the balance in a savings account is growing so that its rate of growth is proportional

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Please answer both questions with both solutions

Assume that the balance in a savings account is growing so that its rate of growth is proportional to the current balance at any time. Let us denote the proportionality constant by r and let the function B() stand for the balance as a function of time. Then, B must satisfy which (ordinary differential) equation? If the initial balance in the account is bo. then what is the expression for the balance as a function of time

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