Finding General Solutions: Separation of Variables
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the role of the constant
C
C
C
in the solution?
QUESTION
Identify the error:
d
y
d
x
=
x
2
y
\frac{dy}{dx} = x^2y
d
x
d
y
=
x
2
y
rewritten as
y
d
y
d
x
=
x
2
y \frac{dy}{dx} = x^2
y
d
x
d
y
=
x
2
.
QUESTION
What happens to the constant of integration when finding a particular solution?
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ANSWER
It is determined using an initial condition. Initial condition substitutes to find specific
C
C
C
value.
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