Answer the questions given the differential equation, (Use the last slides, if you get stuck) ä – 3.i + 2x = 0, x(0) = 1, ¿(0) = –1. (a Using u = x and v = i write the equation in the form x = Ax (b) Determine the eigenvalues of A. (c) Determine the eigenvectors of A.
Answer the questions given the differential equation, (Use the last slides, if you get stuck) ä – 3.i + 2x = 0, x(0) = 1, ¿(0) = –1. (a Using u = x and v = i write the equation in the form x = Ax (b) Determine the eigenvalues of A. (c) Determine the eigenvectors of A.
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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Answer all the parts
Transcribed Image Text:(d)
Determine S and S-1 such that A = SAS-1.
(e)
Compute eAt
Transcribed Image Text:Answer the questions given the differential equation, (Use the last slides, if you get stuck)
ä – 3.i + 2x = 0, x(0) = 1, ¿(0) = –1.
(a
Using u = x and v = i write the equation in the form x = Ax
(b)
Determine the eigenvalues of A.
(c)
Determine the eigenvectors of A.
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