Use variation of parameters to solve the given nonhomogeneous system. = (1 −1)× + (cos(t)e² X X(t) = X' Show Transcribed Text Answers must be in the following form, here's an example of the correct form: c₁e³(-sin(2t), cos (2t)) + c₂e³ (cos(2t), sin(2t))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use variation of parameters to solve the given nonhomogeneous system.
- (1 −1)×
=
X(t) =
X'
Show Transcribed Text
X +
cos(t)
sin(t) et
Answers must be in the following form, here's an example of the correct form:
c₁e³ (sin(2t), cos (2t))+c₂e³ (cos(2t), sin(2t))
Transcribed Image Text:Use variation of parameters to solve the given nonhomogeneous system. - (1 −1)× = X(t) = X' Show Transcribed Text X + cos(t) sin(t) et Answers must be in the following form, here's an example of the correct form: c₁e³ (sin(2t), cos (2t))+c₂e³ (cos(2t), sin(2t))
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