Finding Particular Solutions Using Initial Conditions
From general to particular
Example 1 — Exponential type
Example 2 — Power type
Example 3 — Requires careful algebra
Example 4 — Logarithmic
Example 5 — Exponential decay
Example 6 — Full free-response style
Choosing the correct sign
Domain considerations
Common mistake: applying IC too early
Alternative: definite integral form
AP exam tips
- •
- •
- •
- •
- •
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