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Modeling and verifying differential equations · AP Calculus AB · Courselo

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Calc AB
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Unit 7: Differential equations

Modeling and verifying differential equations

Unit 7: Differential equations · Lesson 2 of 5

Lesson 2 of 5

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Unit 7

Unit 7: Differential equations

5 lessons · 6 h 15 min of study

Slope fields and solution curves1 h 15 min of study
Modeling and verifying differential equationsReading · 0%
Solving separable differential equations1 h 45 min of study
Exponential and logistic models1 h 15 min of study
Euler’s method approximations45 min of study

This unit is ≈10% of the Calc AB, across 5 lessons. Full syllabus

Lesson 2 of 5 · Unit 7: Differential equations

Modeling and verifying differential equations

3 quick checks≈2% of the testCore: Core: tested on most papers

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By the end you’ll be able to

Write a differential equation that models a described rate relationship.
Verify that a given function is a solution to a differential equation by substitution and differentiation.
Interpret the meaning of terms in a differential equation in context.
Use an initial condition to identify a particular solution conceptually or algebraically.

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Adaptive questions on modeling and verifying differential equations.

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PreviousSlope fields and solution curves Next lessonSolving separable differential equations