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Question: Consider the linear system of differential equations yi = 3y1 + 4y2 y' = 691 - 2y2 1. (2 marks) Find the eigenvalues of

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Question: Consider the linear system of differential equations yi = 3y1 + 4y2 y' = 691 - 2y2 1. (2 marks) Find the eigenvalues of the coefficient matrix, and corresponding eigenvectors 2. (2 marks) Solve the system 3. (2 marks) Find the solution that satisfies the initial value conditions y1 (0) = -2, 32(0) = 7

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