Solve the system of differential equations x' = 31x + 56y ly' 16x 29y - - x(0) = 7, y(0) = - 4 The lesser of the two eigenvalues is Its corresponding eigevector is (a, 4). What is a? а The greater of the two eigenvalues is Its corresponding eigevector is ( – 2, b). What is b?

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.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 62CR
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Solve the system of differential equations
31х + 56у
ly'
16х
29y
-
-
x(0) = 7, y(0)
-4
The lesser of the two eigenvalues is
Its corresponding eigevector is (a, 4). What is a?
а —
The greater of the two eigenvalues is
Its corresponding eigevector is ( – 2, b). What is b?
||
The solution to the system is
æ(t) =
y(t) =
Transcribed Image Text:Solve the system of differential equations 31х + 56у ly' 16х 29y - - x(0) = 7, y(0) -4 The lesser of the two eigenvalues is Its corresponding eigevector is (a, 4). What is a? а — The greater of the two eigenvalues is Its corresponding eigevector is ( – 2, b). What is b? || The solution to the system is æ(t) = y(t) =
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