Exponential Models with Differential Equations
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
Card 1
of 23
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is the solution to the separable equation
d
y
d
x
=
x
2
y
\frac{dy}{dx} = x^2 y
d
x
d
y
=
x
2
y
?
QUESTION
What is the expression for
y
(
t
)
y(t)
y
(
t
)
if
d
y
d
t
=
k
y
\frac{dy}{dt} = ky
d
t
d
y
=
k
y
and
y
(
0
)
=
y
0
y(0) = y_0
y
(
0
)
=
y
0
?
QUESTION
Find the solution to
d
y
d
t
=
−
2
y
\frac{dy}{dt} = -2y
d
t
d
y
=
−
2
y
with initial condition
y
(
0
)
=
5
y(0) = 5
y
(
0
)
=
5
.
Tap to flip before you grade
ANSWER
y
(
t
)
=
5
e
−
2
t
y(t) = 5e^{-2t}
y
(
t
)
=
5
e
−
2
t
. Apply initial condition
y
(
0
)
=
5
y(0) = 5
y
(
0
)
=
5
to general solution.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card