Explanation Note that, if an initial amount P is deposited into an account that earns r % which is compounded continuously, and after t years , the amount in the account is A , then A satisfies the equation d A d t = r A where A ( 0 ) = P . Consider the case when money is continuously withdrawn from the account at the rate of $ m per year. Then A satisfies the equation d A d t = r A − m …… (1) Here d A d t is the rate of change of the amount A , rA is the rate of growth from continuous compounding and m is the rate of withdrawal

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Chapter 9.3, Problem 2ED

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To explain: How the equation dAdt−rA=−m changes if, instead of making continuous withdrawals, money is continuously deposited into the account at the rate of $m per year.

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Chapter 9.3, Problem 1ED

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Chapter 9 Solutions

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Ch. 9.1 - Show that y=Cx+1 is the general solution of the...Ch. 9.1 - Prob. 2MP Ch. 9.1 - Prob. 3MP Ch. 9.1 - Prob. 4MP Ch. 9.1 - Prob. 5MP Ch. 9.1 - Prob. 1ED Ch. 9.1 - Prob. 2ED Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E

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How the equation d A d t − r A = − m changes if, instead of making continuous withdrawals, money is continuously deposited into the account at the rate of $ m per year.

Solution Summary: The author explains how the equation dA-dt-rA=-m changes if money is continuously deposited into the account at the rate of m per year.

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To explain: How the equation dAdt−rA=−m changes if, instead of making continuous withdrawals, money is continuously deposited into the account at the rate of $m per year.

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