Question: How do I solve this using both laplace and eigenvalue method? I do not understand this problem, just cannot figure out a way to approach

How do I solve this using both laplace and eigenvalue method?

I do not understand this problem, just cannot figure out a way to approach it. Please leave little comments besides each steps so that I can review both the methods. You may change the numbers. I just need to see how it is done.

dx 2x - 3y di x(0) =8, y(0) =3 by the eigenvalue method. Sketch the straight 9. Solve dy = -2x+ y dt line solutions and approximate a few trajectories

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