Introduction to Separation of Variables
What is a separable DE?
The separation process
Step-by-step method
Example 1 — Basic separation
Example 2 — Separating a sum
Example 3 — Requires algebraic manipulation
Which DEs are NOT separable?
Key algebraic moves for separation
Common integration results after separation
Warning about dividing by zero
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