Question: Question 2 A. Given the system dx 3y dt dy -3x dt a)Solve the system b) Solve the initial value problem x(0) = 1, y(0)

Question 2 A. Given the system dx 3y dt dy -3x dt a)Solve the system b) Solve the initial value problem x(0) = 1, y(0) = 2 c) Classify as a spiral source, spiral sink, or center (explain why) B. Given the harmonic oscillator mx" + bx' + kx =0 Where the mass is 1, the damping constant is 2, and the spring constant is 5. Solve the initial value problem x'(0) = 1, x(0) = 2 Your answer should include All the work . The eigenvalue and corresponding eigenvector

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