Section 7.6 Complex Eigenvalues: Problem 2 (1 point) Solve the IVP $\frac{dx}{dt} = \begin{bmatrix} -2 & -1 \\ 1 & -2 \end{bmatrix} x$ x(0) = $\begin{bmatrix} 7 \\ 8 \end{bmatrix}$ Give your solution in real form. $x_1 = $ $x_2 = $ Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory: Spiral, spiraling inward in the counterclockwise direction 1. Describe the trajectory.
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Step 1: The given initial value problem (IVP) is dx/dt = [2 1; -1 2]x, x(0) = [1; 1]. Show more…
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