Find the real-valued solution to the initial value problem x₁ = 3x₁ + 2x2, x₂ = -5x₁ - 3x2, Use t as the independent variable in your answers. x₁ (t) = x₂(t) = x₁ (0) = 8, x₂ (0) = -15.

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A: Given:

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