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

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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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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