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Exam (elaborations)
Apm3701 Assignment 1 (Quality Answers) 2025
This document contains workings, explanations and solutions to the APM3701 Assignment 1 (QUALITY ANSWERS) 2025. For assistance whats-app us on 0.6.8..8.1.2..0.9.3.4.. QUESTION 1 
Solve the following (initial)-boundary value problem, 
a. 
uxy (x, y) = xy3, x, y 0. 
u (x, 0) = f (x) , and uy (0, y) = g (y) . 
Determine u (x, y) , if f (x) = cosx and g (y) = y+sin y. (Check your answer by substituting, 
and explain all the steps clearly) (15 Marks) 
b. 
 xux + yuy = yu 
u (2x2, x) = x2 − 1. 
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