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Unit 7: Differential Equations

AP Calculus AB — Note Packet

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Key Terms

Differential Equation

An equation involving a function and its _.

Rate of Change

Often represented as dy/dt, indicating how fast a quantity is _ over time.

Proportional

When a rate of change is proportional to a quantity 'y', it means dy/dt = _.

Initial Condition

A specific point (t, y) that tells us where a story _, helping find a unique solution.

Verify

To check if a given function _ a differential equation by plugging the function and its derivative(s) in.

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