Solve the system of differential equations Jx'= -6x -2y \y'= 3x – 1y x(0) = −2, y(0) = 3 The lesser of the two eigenvalues is Its corresponding eigevector is (a, -1). What is a? a The greater of the two eigenvalues is Its corresponding eigevector is (-2, b). What is b? b= The solution to the system is

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 12CR
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Question 4

Solve the system of differential equations
Sx' = -6x-2y
\y'= 3x – 1y
x(0) = −2, y(0) = 3
The lesser of the two eigenvalues is
Its corresponding eigevector is (a,−1). What is a?
a =
The greater of the two eigenvalues is
Its corresponding eigevector is (-2, 6). What is b?
b =
The solution to the system is
x(t) =
y(t) =
Transcribed Image Text:Solve the system of differential equations Sx' = -6x-2y \y'= 3x – 1y x(0) = −2, y(0) = 3 The lesser of the two eigenvalues is Its corresponding eigevector is (a,−1). What is a? a = The greater of the two eigenvalues is Its corresponding eigevector is (-2, 6). What is b? b = The solution to the system is x(t) = y(t) =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,