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APM1514 Assignment 3 (COMPLETE ANSWERS) 2024 - DUE 24 May 2024 R50,59   Add to cart
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APM1514 Assignment 3 (COMPLETE ANSWERS) 2024 - DUE 24 May 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 a...

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APM1514
ASSIGNMENT 3 2024

, APM1514/101/0/2024




Tutorial Letter 101/0/2024


Mathematical Modelling

APM1514

Year module

Department of Mathematical Sciences


Problems: Assignment 3




BAR CODE




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Open Rubric of south africa

, 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 until the form (... )dy = (... )dt or (... )dy = (... )dx, if separable).

(1.1)
dy y
et = − ln(t ) + 8 .
dt t

(1.2)
x 5 dy sin(x + y ) + sin(x− y )
= .
y dx 2

(1.3)
dy cos(x − y ) − cos(x + y )
(y 7 − 1) = .
dx 2



Question 2: 40 Marks

Find the general solutions to the following differential equations:

(2.1)
dx
+ 4x − 1 = 0.
dt

(2.2)
dy
x = 2(y − 4).
dx

(2.3)
dy ty + 3t − 3 − y
= .
dt 4y + ty − 8 − 2t




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