Modeling Situations with Differential Equations
The modeling framework
Common modeling phrases
Type 1 — Proportional to the quantity
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Type 2 — Proportional to a difference
Type 3 — Rate in minus rate out
Type 4 — Direct function of independent variable
Example — Setting up a population model
Example — Mixing problem
Interpreting a given DE
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Equilibrium solutions
Setting up from a graph or table
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