Exponential Models with Differential Equations
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Identify
y
(
t
)
y(t)
y
(
t
)
for
d
y
d
t
=
0.1
y
\frac{dy}{dt} = 0.1y
d
t
d
y
=
0.1
y
with
y
(
1
)
=
3
y(1) = 3
y
(
1
)
=
3
.
QUESTION
For
d
y
d
t
=
−
2
y
\frac{dy}{dt} = -2y
d
t
d
y
=
−
2
y
, what is
y
(
t
)
y(t)
y
(
t
)
if
y
(
0
)
=
4
y(0) = 4
y
(
0
)
=
4
?
QUESTION
Determine
y
(
t
)
y(t)
y
(
t
)
for
d
y
d
t
=
−
3
y
\frac{dy}{dt} = -3y
d
t
d
y
=
−
3
y
and
y
(
0
)
=
7
y(0) = 7
y
(
0
)
=
7
.
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ANSWER
y
(
t
)
=
7
e
−
3
t
y(t) = 7e^{-3t}
y
(
t
)
=
7
e
−
3
t
. Apply
k
=
−
3
k=-3
k
=
−
3
and initial value
y
0
=
7
y_0=7
y
0
=
7
to get the solution.
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