Exponential Models
The exponential growth/decay DE
Derivation by separation of variables
Growth vs decay
Doubling time
Half-life
Finding $k$ from data
Example 1 — Population growth
Example 2 — Radioactive decay
Example 3 — Continuously compounded interest
Newton's Law of Cooling
Summary of exponential models
AP exam tips
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Vocabulary
Unit 7 topics
Unit 7 overview17.1 Modeling Situations with Differential Equations27.2 Verifying Solutions for Differential Equations37.3 Sketching Slope Fields47.4 Reasoning Using Slope Fields57.5 Introduction to Separation of Variables67.6 Finding General Solutions Using Separation of Variables77.7 Finding Particular Solutions Using Initial Conditions87.8 Exponential Models with Differential Equations97.9 Applications of Differential Equations