Answered: A-[; ] then gives the general solution…

A-[; ] then gives the general solution of the system x' = Ax as C1 x(t) = e2t C2 or, in scalar form, x1(t) = c1e2“, x2(t) = c2e2t.

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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Question

With two independent eigenvectors?

A-[; ]
then gives the general solution of the system x' = Ax as
C1
x(t) = e2t
C2
or, in scalar form,
x1(t) = c1e2“,
x2(t) = c2e2t.

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