COT 305 MATHEMATICS 4 Exam 2026

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COT 305: End-of-Semester Examination for COT305 Mathematics III, Department of Computer Engineering, College of Technology, University of Buea, First Semester 2026, 31 January 2026 (Instructors: Mbapte, Nana, Suh). Exercise 1: a population-growth difference equation and projecting world population to 2050. Exercise 2: the general solution of a 2x2 linear system of ODEs via eigenvalues/eigenvectors, and a second-order constant-coefficient ODE solved via verification, Wronskian, general solution and an initial value problem. Exercise 3: an initial value problem y''+4y=3 sin t solved by Laplace transform (worked independently after the source's supplied partial-fraction identity was found not to match the problem), and the Fourier series of cos(x/2) on [-pi,pi] with a convergence argument and a deduced series-sum identity.