Finding General Solutions Using Separation of Variables
The complete solution process
Example 1 — Leading to exponential
Example 2 — Leading to implicit solution
Example 3 — Factoring required first
Example 4 — Trigonometric result
Example 5 — Logarithmic integration
Example 6 — Requires partial fractions concept
Handling the constant of integration
Common forms and their solutions
Explicit vs implicit solutions
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