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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
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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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) =
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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