Question: Question 2. Consider the following S-system. X = x3Y2 - 10 X Y = X2Y - 4Y2 2.1. Linearize the system by taking the log

Question 2. Consider the following S-system. X = x3Y2 - 10 X Y = X2Y - 4Y2 2.1. Linearize the system by taking the log of each side (5 points). 2.2. Calculate the trivial and non-trivial states of the variables in the linearized system (10 points). 2.3. Show the stability of the system using the Jacobian matrix, trace, determinant, and eigenvalues (10 points). 2.4. Provide analysis > steady state> eigenvalues in PLAS for trivial and non-trivial states to determine the stability of the system. Provide screenshots of steady state and eigenvalues and discuss stability (10 points)

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