Consider the following linear di¤erential equation system:

y1 = 2y1 + y2 + 28

y2 = 5y1 + 2y2 + 29

a). Solve the above system of linear di¤erential equations.

b). Draw the phase diagram.

c). Find the equation for the saddle path.

d). If y1 (0) = 0; what value must be chosen for y2 (0) to ensure that the system con-

verges to the steady state?

asked by guest
on Dec 28, 2024 at 7:19 am



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