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Unit 7: Differential Equations

AP Calculus BC — Note Packet

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Key Terms

Differential Equation

An equation that relates a function to its ______.

Constant of Proportionality

The constant `k` used when a rate of change is proportional to a ______.

Verify Solution

To check if a proposed function is a solution to a differential equation by ______ it and its derivatives into the original equation.

Slope Field

A graphical representation of a differential equation where tiny line segments are drawn at various points `(x, y)` with slopes given by ______.

Equilibrium Solution

A ______ line on a slope field where `dy/dx = 0`, indicating that the quantity is not changing.

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