Modeling Situations with Differential Equations
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
Identify the particular solution of
y
′
=
2
y
y' = 2y
y
′
=
2
y
given
y
(
1
)
=
3
y(1) = 3
y
(
1
)
=
3
.
QUESTION
Find the particular solution of
y
′
=
2
x
y' = 2x
y
′
=
2
x
given
y
(
1
)
=
3
y(1) = 3
y
(
1
)
=
3
.
QUESTION
What is a solution to
y
′
=
y
y' = y
y
′
=
y
with
y
(
0
)
=
2
y(0) = 2
y
(
0
)
=
2
?
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ANSWER
y
=
2
e
x
y = 2e^x
y
=
2
e
x
. Exponential solution
y
=
C
e
x
y = Ce^x
y
=
C
e
x
with
C
=
2
C = 2
C
=
2
from condition.
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