Consider the Initial Value Problem: x₁ x₂ = X₁ -i V₁ = x2 = = (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 9 cost + 7 sin t -3-i 3x1 + 3x2 - 6x1 3x2² 6 1 and X2 x₁ (0) x₂ (0) X2 An ellipse with clockwise orientation pplane9.m in MATLAB to describe the trajectory. = = = (b) Solve the initial value problem. Give your solution in real form. X1 = 5 cost + 4 sin t -i, v₂ 5 9 = -3 + i 6 1. Use the phase plotter

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