Question: An engineering system is characterized by the following ODE: x = x - 9 y y = 4 x y a . Calculate the eigenvalues

An engineering system is characterized by the following ODE:
x = x -9y
y=4xy
a. Calculate the eigenvalues by hand.
b. Use MATLAB to confirm your eigenvalues and calculate the eigenvectors.
c. Create a phase portrait of the system. You may use pplane9 or generate your own with the ODE45 MATLAB solver.

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