Question: In Problems 1 through 10, apply Theorem 1 to determine the type of the critical point (0 , 0) and whether it is asymptotically stable,

In Problems 1 through 10, apply Theorem 1 to determine the type of the critical point (0 , 0) and whether it is asymptotically stable, stable, or unstable. Verify your conclusion by using a computer system or graphing calculator to construct a phase portrait for the given linear system.

dx dt -2x + y dy dt = x - 2y

dx dt -2x + y dy dt = x - 2y

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