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If (x0, y0) is an equilibrium point of the system dx/dt =

Chapter , Problem 13

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QUESTION:

If (x0, y0) is an equilibrium point of the system dx/dt = f (x, y) and dy/dt = g(x, y), then the eigenvalues of the linearized system at (x0, y0) are the partial derivatives f/x and g/y evaluated at (x0, y0).

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QUESTION:

If (x0, y0) is an equilibrium point of the system dx/dt = f (x, y) and dy/dt = g(x, y), then the eigenvalues of the linearized system at (x0, y0) are the partial derivatives f/x and g/y evaluated at (x0, y0).

ANSWER:

Step 1 of 2

Consider the equilibrium point is and the equation of the system is:

                                                                         

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