APM2616 Assignment 3 (COMPLETE ANSWERS) 2024 - DUE 22 July 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: 10 Marks
Determine the solution y(x) for each of the following initial value pro...
APM2616
ASSIGNMENT 3 2024
UNIQUE NO.
DUE DATE: 22 JULY 2024
, APM2616/101/0/2024
ASSIGNMENT 03
Due date: Monday, 22 July 2024
Total Marks: 100
ONLY FOR YEAR MODULE
Question 1: 10 Marks
Determine the solution y (x ) for each of the following initial value problems
(1.1) (5)
0 0
y − yx cos x = 0 with y (π) = 1.
(1.2) (5)
0 y 0
2y + = 0, with y (1) = π.
x
Question 2: 15 Marks
Use MuPAD to determine the following indefinite integrals
(2.1) Z (5)
x
q dx .
(2ax − x 2 )3
(2.2) Z (5)
√ 1 dx .
x 1 + x2
(2.3) Obtain a numerical estimate for the following definite integral (5)
Z π
2
√
sin x 1 + sin x dx
π
−
2
7
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