MX" + BX' + KX = F(t). (4) so we will also do as much work as we can without specifying the forcing term F(t); that allows our work to be applicable in either case. Exercise 1: Write Equation 4 as a first order system of equations, find the eigenvalues of the homogeneous system (that is, when F(t)= 0), and find the solution to that system. We will find it useful to define the parameter B 20=√√ You should assume that ſo 2M

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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Please show all work! Do exercise 1 please.

(3)
Both (2) and (3) are in the general form
MX" + BX' + KX = NW sin(wt).
MX" + BX' + KX = F(t).
(4)
so we will also do as much work as we can without specifying the forcing term
F(t); that allows our work to be applicable in either case.
Exercise 1: Write Equation 4 as a first order system of equations, find the
eigenvalues of the homogeneous system (that is, when F(t) = 0), and find
the solution to that system. We will find it useful to define the parameter
B
20 =
You should assume that no >
2M
Transcribed Image Text:(3) Both (2) and (3) are in the general form MX" + BX' + KX = NW sin(wt). MX" + BX' + KX = F(t). (4) so we will also do as much work as we can without specifying the forcing term F(t); that allows our work to be applicable in either case. Exercise 1: Write Equation 4 as a first order system of equations, find the eigenvalues of the homogeneous system (that is, when F(t) = 0), and find the solution to that system. We will find it useful to define the parameter B 20 = You should assume that no > 2M
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