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Transform the given system into a single equation of second-order x₁ = −5x₁ + 7x2 x₂ = -7x1 - 5x2. Then find ₁ and x2 that also satisfy the initial conditions x₁(0) = 7 x₂(0) = 9. NOTE: Enter exact answers. x₁(t) = = x₂(t) =

Transform the given system into a single equation of second-order x₁ = −5x₁ + 7x2 x₂ = -7x1 - 5x2. Then find ₁ and x2 that also satisfy the initial conditions x₁(0) = 7 x₂(0) = 9. NOTE: Enter exact answers. x₁(t) = = x₂(t) =

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Transform the given system into a single equation of second-order x'₁ = −5x₁ + 7x2 = -7x₁ - 5x2. Then find ₁ and 2 that also satisfy the initial conditions X1 x₁(0) = 7 x₂(0) = 9. NOTE: Enter exact answers. x₁(t) = x₂ = x2 x₂(t): =
Transcribed Image Text:Transform the given system into a single equation of second-order x'₁ = −5x₁ + 7x2 = -7x₁ - 5x2. Then find ₁ and 2 that also satisfy the initial conditions X1 x₁(0) = 7 x₂(0) = 9. NOTE: Enter exact answers. x₁(t) = x₂ = x2 x₂(t): =
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