Exercise 3.9.6: Find the general solution to x″ = −6x₁ + 3x2 + cos(t), x″ = 2x₁ − 7x₂ + 3 cos(t), a) using eigenvector decomposition, b) using undetermined coefficients.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Please solve b) using undetermined coefficients and please write out instead of type

Exercise 3.9.6: Find the general solution to x″ = −6x₁ + 3x2 + cos(t), x″ = 2x₁ − 7x₂ + 3 cos(t),
a) using eigenvector decomposition,
b) using undetermined coefficients.
Transcribed Image Text:Exercise 3.9.6: Find the general solution to x″ = −6x₁ + 3x2 + cos(t), x″ = 2x₁ − 7x₂ + 3 cos(t), a) using eigenvector decomposition, b) using undetermined coefficients.
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