. () Briefly explain the meaning of the dynamic stability of a system represented by a differential equation. (ii) Solve the equation dy/dt + 4y = 12, with the initial condition y(0) (Assume t represent time variable). (iii) Discuss the dynamic stability of the solution derived at above (ii). What is %3! 5. the long run equilibrium level of y?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter14A: The Practice Of Revenue Management
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dynamic stability

4. (i) Briefly explain the meaning of the dynamic stability of a system represented
by a differential equation.
(ii) Solve the equation dy/dt + 4y = 12, with the initial condition y(0) = 5.
%3D
(Assume t represent time variable).
(iii) Discuss the dynamic stability of the solution derived at above (i). What is
the long run equilibrium level of y?
(iv) Plot the phase line for the equation at above (ii) and discuss its qualitative
implications.
Transcribed Image Text:4. (i) Briefly explain the meaning of the dynamic stability of a system represented by a differential equation. (ii) Solve the equation dy/dt + 4y = 12, with the initial condition y(0) = 5. %3D (Assume t represent time variable). (iii) Discuss the dynamic stability of the solution derived at above (i). What is the long run equilibrium level of y? (iv) Plot the phase line for the equation at above (ii) and discuss its qualitative implications.
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