(Keynes model in continuous time) A continuous version of the Keynes modelis given by the equationsY= C + I + GT*(dC/dt) + C = aYT*(dI/dt) + I = b*(dC/dt)Write the equations in state space form, and give the conditions for stability.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.10MCQ
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(Keynes model in continuous time) A continuous version of the Keynes model
is given by the equations

Y= C + I + G
T*(dC/dt) + C = aY
T*(dI/dt) + I = b*(dC/dt)

Write the equations in state space form, and give the conditions for stability.

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