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

-6 Consider the system of equations given by: æ' = ӕ. -2 -6 a. Find a fundamental matrix for the system. X(t) = b. Find the matrix exponential, V (t) = eAt, of the system. V (t) = c. Solve the initial value problem with æ(0) = 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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-6 Consider the system of equations given by: æ' = ӕ. -2 -6 a. Find a fundamental matrix for the system. X(t) = b. Find the matrix exponential, V (t) = eAt, of the system. V (t) = c. Solve the initial value problem with æ(0) = using the matrix exponential found in Part b. x(t) =
Transcribed Image Text:-6 Consider the system of equations given by: æ' = ӕ. -2 -6 a. Find a fundamental matrix for the system. X(t) = b. Find the matrix exponential, V (t) = eAt, of the system. V (t) = c. Solve the initial value problem with æ(0) = using the matrix exponential found in Part b. x(t) =
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