Find the solution of the initial-value problem y" - 6y" +16y'-96y = sec 4t, y(0) = 2, y'(0) = -1, y"(0) = 46. A fundamental set of solutions of the homogeneous equation is given by the functions: yi(t)= eat, where a = y2(t) = = Yz(t)
Find the solution of the initial-value problem y" - 6y" +16y'-96y = sec 4t, y(0) = 2, y'(0) = -1, y"(0) = 46. A fundamental set of solutions of the homogeneous equation is given by the functions: yi(t)= eat, where a = y2(t) = = Yz(t)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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Question
![A particular solution is given by:
Y(t) = [
to
C
Therefore the solution of the initial-value problem is:
+
Therefore the solution of the initial-value problem is:
y(t) =
ds y₁(t)
-Y2(t)
ys(t)
-
]). Vs(t)
]+Y(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fdd5c77-34a6-4e6c-b72a-2ede91e3b6e3%2Fa0801463-e5c6-44a0-b69a-8239f0d18547%2F5jfw33_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particular solution is given by:
Y(t) = [
to
C
Therefore the solution of the initial-value problem is:
+
Therefore the solution of the initial-value problem is:
y(t) =
ds y₁(t)
-Y2(t)
ys(t)
-
]). Vs(t)
]+Y(t)
Transcribed Image Text:Find the solution of the initial-value problem
y" - 6y"+16y' - 96y= sec 4t, y(0) = 2, y'(0) = -1, y'(0) = 46.
A fundamental set of solutions of the homogeneous equation is given
by the functions:
y₁(t) = eat, where a =
y2(t) =
Y3(t)
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