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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).

Advanced Engineering Mathematics
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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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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