Find the approximate solutions of the following different equation up to 3rd order, where: Perturbation Method Assignment, WC, Canada

University Wiley College (WC)
Subject Perturbation Method

Find the approximate solutions of the following different equation

up to 3rd order, where 0 < c cit 1.

(a) Use the Lindstedt-Poincare procedure.

(b) Use Multiple Time Scales.

(c) Based on part  (b), carry out the stability analysis for the approximate solutions.

(d) Obtain the numeric simulations of steady-state solutions (long term) for c = 0.1, 0.5, 5, and compare them with the above obtained approximate solutions.

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