APM2611 Assignment 4 (COMPLETE ANSWERS) 2025 - DUE 24 September 2025 ; 100% correct solutions and explanations.

APM2611 Assignment 4 (COMPLETE ANSWERS) 2025 - DUE 24 September 2025 ; 100% correct solutions and explanations. ASSIGNMENT 04 Due date: Wednesday, 24 September 2025 ONLYFORYEARMODULE Series solutions, Laplace transforms and Fourier series, solving PDE’s by separation of variables. Answer all the questions. Show all your own and personalized workings, you get ZERO to a question if we see that you have copied someone’s else solution word by word. You must submit your assignment via myUnisa, and note that only PDF files will be ac- cepted. Note that all the questions will be marked therefore, it is highly recommended to attempt all of them. Question 1 Use the power series method to solve the initial value problem: y00 − xy0 + 4y = 2, y(0) = 0, y0(0) = 1. Question 2 Consider the