Mathematical Modelling APM1514 (APM1514)
University of South Africa
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APM1514 Assignment 5 (COMPLETE ANSWERS) 2024 - DUE 27 June 2024
- Exam (elaborations) • 15 pages • 2024
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APM1514 Assignment 5 (COMPLETE ANSWERS) 2024 - DUE 27 June 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 
 
Question 1: 14 Marks 
(1.1) By using an analytical approach, determine all the equilibrium point(s) of the following dif- (14) 
ferential equation: 
dx 
dt = 3 
⇣p 
x 
3 1 
⌘ 1 
2 
⇣p 
x 
3 1 
⌘ 1 
65. 
Question 2: 24 Marks 
Draw the phase lines of the following differential equation...
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APM1514 Assignment 4 2024 - DUE 10 June 2024
- Exam (elaborations) • 20 pages • 2024
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APM1514 Assignment 4 2024 - DUE 10 June 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 
 
Question 1: 8 Marks 
Suppose that the population of South Africa was approximately 60, 04 million at the beginning of year 2021, 
and that it follows the Malthusian model approximately, with a growth rate of 1.24 percent per year. 
(1.1) When will the population reach 70 million, if the growth rate does not ch...
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APM1514 Assignment 3 (COMPLETE ANSWERS) 2024 - DUE 24 May 2024
- Exam (elaborations) • 20 pages • 2024
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APM1514 Assignment 3 (COMPLETE ANSWERS) 2024 - DUE 24 May 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 
 
ASSIGNMENT 03 
Due date: Friday, 24 May 2024 
Total Marks: 100 
ONLY FOR YEAR MODULE 
This assignment covers study unit 4 in the study guide. 
Question 1: 12 Marks 
Which of the following differential equations are separable or inseparable? Justify your answer algebraically 
(hint: demonstrat...
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APM1514 ASSIGNMENT 3 2024 - DUE 24 May 2024
- Exam (elaborations) • 20 pages • 2024
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APM1514 ASSIGNMENT 3 2024 - DUE 24 May 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... 
ASSIGNMENT 03 
Due date: Friday, 24 May 2024 
Total Marks: 100 
ONLY FOR YEAR MODULE 
This assignment covers study unit 4 in the study guide. 
Question 1: 12 Marks 
Which of the following differential equations are separable or inseparable? Justify your answer algebraically 
(hint: demonstrate manipulation up unt...
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