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
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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