Tuesday, April 1, 2008

10.1: Intro to Differential Equations.

Main Points
Even when we do not know a key function, its derivative can still be used to obtain information, such in the marine harvesting example where a formula is created using the rate of change details provided.
The derivative formula is written by multiplying the rate of change by some initial value and adding (if increasing) or subtracting (if decreasing) some stated constant.

Challenges
Why is there a constant of proportionality? what is its function? and why is the derivative always proportional to the equation used? The Logistic Model explanation is a little hard to follow and thus a little more difficult to understand.

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