Follow the steps in the text used to derive the approximate differential Equation 2.1.1 db/dt = 0.6697b(t)

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Follow the steps in the text used to derive the approximate differential Equation 2.1.1
db/dt = 0.6697b(t)
with the following values of Δt. This requires computing the value of the function b(t) = 2.0t at times separated by Δt, and finding the average rate of change between those times.
Δt = 0.5.
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