APM3706 ASSIGNMENT 04 (Exceptional Solution) Due July 2025

APM3706
ASSIGNMENT 04
Due July 2025

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STUDY GUIDE: CHAPTERS 6, 7 and 8

Answer All Questions
In All assignments we may mark all or few of those questions.

Question 1

Solve Exercise 6.7 from SG.


Question 2

Solve second part of Exercise 6.11 (I mean 6.11- 2(a) and 2(b))from SG.


Question 3

Solve question 3 of Exercise 7.5 from SG.


Question 4

Classify the critical points of the plane autonomous system corresponding to the second
order nonlinear differential equation: ẍ + µ( x2 + 1) ẋ + x= 0 .



Question 5

Determine the type and stability or the critical point at (0 0
, ) of each system below.


(a). X˙ , (b). X˙ , .