Use the method of undetermined coefficients to solve the given nonhomogeneous system. 3 X + -4t2 -1 X' = 3 -1 t + 2 4t 1 3 X(t) = | c, (-1,1)e +c,(1,1)e2 +( t + 2' 2 8' 8' 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the method of undetermined coefficients to solve the given nonhomogeneous system.
3
X +
-4t2
t + 2,
-1
X'
3 -1
q(-1,1)e-4 + c,(1,1)c# + ()+(-
1 3
2' 2
3
1 1
cq (-1,1)e
1
t +
8.
X(t)
8
Transcribed Image Text:Use the method of undetermined coefficients to solve the given nonhomogeneous system. 3 X + -4t2 t + 2, -1 X' 3 -1 q(-1,1)e-4 + c,(1,1)c# + ()+(- 1 3 2' 2 3 1 1 cq (-1,1)e 1 t + 8. X(t) 8
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