Consider the system of differential equations dx/dt = -1.2x+0.5y dy/dt = 2.5x-3.2y For this system, the smaller

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Question:

Consider the system of differential equations

dx/dt = -1.2x+0.5y

dy/dt = 2.5x-3.2y

For this system, the smaller eigenvalue is ? and the larger eigenvalue is ?

The solution to the above differential equation with initial values x(0) = 4, y(0) = 3 is
x(t) = ?
y(t) = ?