Let be the amount in a fund earning interest at an annual
Chapter 6, Problem 70(choose chapter or problem)
Let A(t) be the amount in a fund earning interest at an annual rate r compounded continuously. When a continuous cash flow of P dollars per year is withdrawn from the fund, the rate of change of A is given by the differential equation
\(\frac{d A}{d t}=r A-P\)
where \(A=A_{0}\) when t = 0. Solve this differential equation for A as a function of t.
Text Transcription:
frac d A d t=r A-P
A=A_0
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