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21 X2 Write the DE y(4) +2y"+y=e²t as a first-order linear system using matrix notation. For this, take X = In with £₁ = y, x₂ = y',..., n = y(n) and rewrite the system as X' = AX + F(t). Clearly state matrix A and vector F(t).

21 X2 Write the DE y(4) +2y"+y=e²t as a first-order linear system using matrix notation. For this, take X = In with £₁ = y, x₂ = y',..., n = y(n) and rewrite the system as X' = AX + F(t). Clearly state matrix A and vector F(t).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 6CM
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I1 X2 2. Write the DE y(4) +2y"+y=c²t as a first-order linear system using matrix notation. For this, take X = In with ₁ = y, x₂ = y',..., n = y(") and rewrite the system as X' = AX + F(t). Clearly state matrix A and vector F(t).
Transcribed Image Text:I1 X2 2. Write the DE y(4) +2y"+y=c²t as a first-order linear system using matrix notation. For this, take X = In with ₁ = y, x₂ = y',..., n = y(") and rewrite the system as X' = AX + F(t). Clearly state matrix A and vector F(t).
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