AP Calculus BC Flashcards: Finding General Solutions Separation Of Variables

Study Finding General Solutions 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

What is the result of integrating $x dx = y dy$ ?

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ANSWER

$\frac{x^2}{2} = \frac{y^2}{2} + C$ . Both sides integrate to $\frac{x^2}{2}$ and $\frac{y^2}{2}$ respectively.

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What this deck covers

This deck focuses on Finding General Solutions 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

y(t)

satisfies

\frac{dy}{dt}=\frac{1+y^2}{1+t^2}

. What is the general solution for

y(t)

Choose an answer

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