Consider the system of equations given by: æ' -3 6 ӕ, 4 a. Find a fundamental matrix for the: system. 3 -2e 6t X(t) = -6t deSt b. Find the matrix exponential, V(t) = e4t, of the system. V(t) c. Solve the initial value problem with æ(0) C) using the matrix exponential found in Part b. x(t) =
Consider the system of equations given by: æ' -3 6 ӕ, 4 a. Find a fundamental matrix for the: system. 3 -2e 6t X(t) = -6t deSt b. Find the matrix exponential, V(t) = e4t, of the system. V(t) c. Solve the initial value problem with æ(0) C) using the matrix exponential found in Part b. x(t) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Consider the system of equations given by: æ'
-3 6
ӕ,
4
a. Find a fundamental matrix for the:
system.
3
-2e 6t
X(t) =
-6t
deSt
b. Find the matrix exponential, V(t) = e4t, of the
system.
V(t)
c. Solve the initial value problem with æ(0)
C) using the matrix exponential found in Part b.
x(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7e43581-ad49-4401-ab05-6db12690e16e%2F0a2342ab-e279-4b33-b178-61df6229b45c%2F6rtf0wt.png&w=3840&q=75)
Transcribed Image Text:Consider the system of equations given by: æ'
-3 6
ӕ,
4
a. Find a fundamental matrix for the:
system.
3
-2e 6t
X(t) =
-6t
deSt
b. Find the matrix exponential, V(t) = e4t, of the
system.
V(t)
c. Solve the initial value problem with æ(0)
C) using the matrix exponential found in Part b.
x(t) =
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