Consider the system of equations given by: æ' = ӕ. -3 a. Find a fundamental matrix for the system. -3 -2e-7t X(t) = 1 3e¬7t b. Find the matrix exponential, ¥(t) = e4t, of the system. V (t) c. Solve the initial value problem with æ(0) = ( °) using the matrix exponential found in Part b. 6- æ(t) 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the system of equations given by: æ' =
ӕ.
-3
a. Find a fundamental matrix for the system.
-3
-2e-7t
X(t) =
1
3e¬7t
b. Find the matrix exponential, ¥(t) = e4t, of the system.
V (t)
c. Solve the initial value problem with æ(0) = ( °) using the matrix exponential found in Part b.
6-
æ(t)
2.
Transcribed Image Text:Consider the system of equations given by: æ' = ӕ. -3 a. Find a fundamental matrix for the system. -3 -2e-7t X(t) = 1 3e¬7t b. Find the matrix exponential, ¥(t) = e4t, of the system. V (t) c. Solve the initial value problem with æ(0) = ( °) using the matrix exponential found in Part b. 6- æ(t) 2.
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