AP Calculus AB Flashcards: Modeling Situations With Differential Equations

Study Modeling Situations With Differential Equations in AP Calculus AB with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is a solution to $y' = y$ with $y(0) = 2$ ?

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ANSWER

$y = 2e^x$ . Exponential solution $y = Ce^x$ with $C = 2$ from condition.

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AP Calculus AB: Differential Equations

Exponential Models with Differential Equations39 cards

Finding General Solutions: Separation of Variables37 cards

Initial Conditions and Separation of Variables35 cards

You are hereModeling Situations with Differential Equations32 cards

Reasoning Using Slope Fields38 cards

Sketching Slope Fields38 cards

Verifying Solutions for Differential Equations34 cards

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32 cards

What this deck covers

This deck focuses on Modeling Situations With Differential Equations, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus AB.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set

The velocity

v(t)

of a falling object changes at a rate

g

minus a drag force proportional to

v(t)

. Which differential equation models

v

Choose an answer

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