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Transform the given system into a single equation of second-order x₁ = 8x₁ + 7x2 x2 = 7x1 +8x2. Then find 1 and 22 that also satisfy the initial conditions x₁(0) = 8 x₂(0) = 1. NOTE: Enter exact answers. x₁(t) = x₂(t) =

Transform the given system into a single equation of second-order x₁ = 8x₁ + 7x2 x2 = 7x1 +8x2. Then find 1 and 22 that also satisfy the initial conditions x₁(0) = 8 x₂(0) = 1. NOTE: Enter exact answers. x₁(t) = x₂(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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Transform the given system into a single equation of second-order x₁ = 8x₁ + 7x2 x2 = 7x1 +8x2. Then find 1 and 22 that also satisfy the initial conditions X2 x1(0) = 8 x₂(0) = 1. NOTE: Enter exact answers. x₁(t) = x₂(t) =
Transcribed Image Text:Transform the given system into a single equation of second-order x₁ = 8x₁ + 7x2 x2 = 7x1 +8x2. Then find 1 and 22 that also satisfy the initial conditions X2 x1(0) = 8 x₂(0) = 1. NOTE: Enter exact answers. x₁(t) = x₂(t) =
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