dz dt = Az + f and z= where A = eAt 0 1 1 GJA H and f = 10 using the matrix exponential (et) solve for the general solution to the inhomogeneous system of differential equations

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 14CR
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Compute the matrix exponential and solve for the general solution to the inhomogeneous system of linear differential equations. Note: calculate the eigenvalues and eigenvectors in your answer. 

dz
dt
=
Az + f and z=
where A =
0 1
[:
}]
10
e At
and f
=
1
H
1
using the matrix exponential (eªt)
solve for the general solution to the inhomogeneous
system of differential equations
Transcribed Image Text:dz dt = Az + f and z= where A = 0 1 [: }] 10 e At and f = 1 H 1 using the matrix exponential (eªt) solve for the general solution to the inhomogeneous system of differential equations
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