Question: Find the general solution to the given system of differential equations. Then find the specific solution that satisfies the initial conditions. (Consider all functions to

Find the general solution to the given system of differential equations. Then find the specific solution that satisfies the initial conditions. (Consider all functions to be functions of t.)

x′₁ = x₁ + x₂, x₁(0) = 1
x′₂ = x₁ - x₂, x₂(0) = 0

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