AP Calculus AB Flashcards: Initial Conditions And Separation Of Variables

Study Initial Conditions And Separation Of Variables 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

Find the particular solution of $\frac{dy}{dx} = 4y$ with $y(1) = 3$ .

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ANSWER

$y = 3e^{4(x-1)}$ . General solution $y = Ce^{4x}$ , apply $y(1) = 3$ to find $C$ .

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What this deck covers

This deck focuses on Initial Conditions And Separation Of Variables, 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 25Practice questions for this set

A population satisfies

\frac{dP}{dt}=0.2P

with

P(0)=50

. Which function gives the particular solution?

Choose an answer

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