Calc AB · U7
Differential Equations
Differential-equation modeling, solution verification, slope fields, separation of variables, particular solutions, and exponential models.
Test yourself
A focused, distraction-free run through 35 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 7.1
Modeling Situations with Differential Equations
Writing differential equations from verbal rate descriptions
Topic 7.2
Verifying Solutions for Differential Equations
Checking both the differential equation and any initial condition
Topic 7.3
Sketching Slope Fields
Connecting differential equations to local slope information
Topic 7.4
Reasoning Using Slope Fields
Using slope fields and differential equations to infer solution behavior
Topic 7.6
General Solutions Using Separation of Variables
Separating variables and finding families of solutions
Topic 7.7
Particular Solutions Using Initial Conditions and Separation of Variables
Using initial values to determine constants in separated solutions
Topic 7.8
Exponential Models with Differential Equations
Solving and interpreting growth and decay models