Initial Conditions and Separation of Variables
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the purpose of integrating both sides after separation of variables?
QUESTION
What does 'separable' mean in the context of differential equations?
QUESTION
What technique is used to solve
d
y
d
x
=
x
y
\frac{dy}{dx} = \frac{x}{y}
d
x
d
y
=
y
x
?
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ANSWER
Separation of variables. The equation has form
d
y
d
x
=
f
(
x
)
g
(
y
)
\frac{dy}{dx} = f(x)g(y)
d
x
d
y
=
f
(
x
)
g
(
y
)
where variables separate.
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