Determine the solution of a homogeneous linear first order Ordinary Differential Equation system: (use 2 methods,...

Determine the solution of a homogeneous linear first order Ordinary Differential Equation system: (use 2 methods, substitution method, and matrix method)

x1' = - 4x₁-6x₂

x2' = x₁+ x₂

With the initial values: x₁ (0) = 2 ; x₂ (0) = -1

b. x₁' = -x₂

x₂' = -x₁

With initial values: x₁ (0) = 3 ; x₂ (0) = 1

Expert Solution

Colby Messinger answered 2 years ago

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