1. Given the system -8 -5 X' * - ( 3 5 ) * X 5 2 (a) Find the general solution. (b) Find the solution that satisfies the initial condition (0) - -(3¹). Report your solution as one vector.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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1. Given the system
-8 -5
X'
* - ( 3 5 ) *
X
5
2
(a) Find the general solution.
(b) Find the solution that satisfies the initial condition (0) -
-(3¹). Report your solution as one vector.
Transcribed Image Text:1. Given the system -8 -5 X' * - ( 3 5 ) * X 5 2 (a) Find the general solution. (b) Find the solution that satisfies the initial condition (0) - -(3¹). Report your solution as one vector.
2. Given the system
dr
I-Y
dt
dy
dt
171-y
(a) Find the general solution.
(b) Find the solution that satisfies the initial condition (z(0), y(0)) = (-4,0). Report your solution as one vector.
=
Transcribed Image Text:2. Given the system dr I-Y dt dy dt 171-y (a) Find the general solution. (b) Find the solution that satisfies the initial condition (z(0), y(0)) = (-4,0). Report your solution as one vector. =
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