Homogeneous Linear Systems Consider the following lincar system. (1) = -2yı(t) + 2(1) 2(t) = 12y1 (t) – 3y2(t)- y3(t) 3 1 4(t) = (t) +2(t) – y3(t) %3D (a) Find the general solution to the system. (b) Solve the initial value problem of the system when j(0) = Also provide the graphs of cach function, y1(t), y2(t), y3(t)

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 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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3. Homogeneous Linear Systems Consider the following lincar system.
1
y(t) = -2y1(t) +
2(t) = 12y1(t) –- 3y2(t) – y3(t)
40) = 1(1) +2() – y3(t)
(a)
Find the general solution to the system.
(b)
Solve the initial value problem of the system when
j(0)
4
9.
Also provide the graphs of cach function, y1(t), y2(t), y3(t)
Transcribed Image Text:3. Homogeneous Linear Systems Consider the following lincar system. 1 y(t) = -2y1(t) + 2(t) = 12y1(t) –- 3y2(t) – y3(t) 40) = 1(1) +2() – y3(t) (a) Find the general solution to the system. (b) Solve the initial value problem of the system when j(0) 4 9. Also provide the graphs of cach function, y1(t), y2(t), y3(t)
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