Verifying Solutions for Differential Equations
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the general solution of
d
y
d
x
=
k
y
\frac{dy}{dx} = ky
d
x
d
y
=
k
y
?
QUESTION
What is the order of
y
(
4
)
+
2
y
′
′
+
y
=
0
y^{(4)} + 2y'' + y = 0
y
(
4
)
+
2
y
′′
+
y
=
0
?
QUESTION
What is the integrating factor for
d
y
d
x
+
P
y
=
Q
\frac{dy}{dx} + Py = Q
d
x
d
y
+
P
y
=
Q
?
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ANSWER
e
∫
P
d
x
e^{\textstyle\int P \, dx}
e
∫
P
d
x
. Factor to make coefficient of
d
y
d
x
\frac{dy}{dx}
d
x
d
y
equal to
1
1
1
.
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