Question: 6. (Exercise 3.1.15 - Lecture 11) Consider the first order system of differential equations dx =-xty+1 and dy =xty - 3. dt dt a. Find

 6. (Exercise 3.1.15 - Lecture 11) Consider the first order system

6. (Exercise 3.1.15 - Lecture 11) Consider the first order system of differential equations dx =-xty+1 and dy =xty - 3. dt dt a. Find the coordinates of the equilibrium point for this system, i.e., the point (xo, yo) for which da = 0 and dy = 0. dt

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