Unit 7 : Slope Fields & Modeling Differential Equations

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Calculus

Differential Equations

AP Calculus BC

Unit 7: Differential Equations

Last updated 10:37 PM on 4/24/24

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Solution to $\frac{dy}{dt} = ky$

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Directly Proportional

a=k*b

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Inversely Proportional

$a = \frac{k}{b}$

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Euler’s Method

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Max Growth Rate : Logistics Graph

Point of inflection

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Logistics Differential Equations (both variations)

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TWO THINGS : ANSWER MOST AP LOGISTICS QUESTIONS

The maximum value of the logistics function is the limiting value L
The maximum rate happens when y`` changes from pos to neg