AP Calculus BC Flashcards: Initial Conditions And Separation Of Variables

Study Initial Conditions And Separation Of Variables in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Convert $\frac{dy}{dx} = x^2y^3$ into a separable form.

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ANSWER

$\frac{dy}{y^3} = x^2 dx$ . Move $y^3$ to the left side and $x^2$ to the right.

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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 BC.

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

A quantity satisfies

\frac{dy}{dx}=x(1+y)

with

y(0)=1

. Which particular solution gives

y(x)

Choose an answer

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