Question: 5. (Exercise - Lecture 15) Use the Trace-Determinant Plane shown in Figure 1 to classify the equilibrium point at (0, 0) for the following homogeneous

5. (Exercise - Lecture 15) Use the Trace-Determinant Plane shown in Figure 1 to classify the equilibrium point at (0, 0) for the following homogeneous linear systems. dx 3 -3 a. dt. dx b. dt dx C. dt D D = T2 SPIRAL SPIRAL SINK SOURCE SINK SOURCE T SADDLE FIGURE 1. The Trace-Determinant Plane for Classification of the equilibrium point at (0, 0)

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