Transcribed Image Text: of the following is the generol solution 3 # 4%$4 5 6. 7( 81 9 1 T Y

Excerpt
C e¬t + C2 (t + 1) e-t + 8 x2(t) = -C e-t C2 te-t – 3 %3D f) x1(t) = C, e¬t + C2t e¬t – 1 %3D x2(t) = 2 C, e¬t + C2 (2 t + 1) e¬t – 6 %3D

Transcribed Image Text: of the following is the generol solution
3 #
4%$4
5
6.
7(
81
9 1
T
Y U
mok
A SD F
G H
K
de
following is the generel solution
spoce equotions!
Wch
of the above
inhom ogen ews stota
Self vectors
V12
VII
V21
%3D
V22
V22
choose to be
generoliz ed
eigen vector
Vz is the Transcribed Image Text: a)
x1(t) = C, e¬t + C2 (t + 1) e¬t + 4
x2(t) = C, e¬t + C2 t e¬t + 3
b)
x1(t) = C1 e¬t + C2 (t – 1) e¬t + 2
x2(t) = C, e¬t + C2t e¬t + 1
c)
x1(t) = C e-t + C2 (t – 1) e¬t – 2
x2(t) = -C e-t
C2 te-t + 7
%3D
d)
x1(t) = C, e¬t + C2 t e¬t + 7
x2(t) = 2 C, e¬t + C2 (2 t – 1) e¬t + 10
%3D
e)
x1 (t) = C e¬t + C2 (t + 1) e-t + 8
x2(t) = -C e-t
C2 te-t – 3
%3D
f)
x1(t) = C, e¬t + C2t e¬t – 1
%3D
x2(t) = 2 C, e¬t + C2 (2 t + 1) e¬t – 6
%3D

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