MATH300 Midterm: MATH 300 UofA mid review

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31 Jan 2019
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Solve the initial value problem for < x < , t 0. Solve the wave equation for < x < , t 0: , x 1 (i) find the fourier series of f (x) on [ 2, 2]. (ii) find the fourier-sine series of f (x) on [0, 2]. (iii) find the fourier-cosine series of f (x) on [0, 2]. X u(x, 0) = f (x), where f (x) is as given in exercise 3. (a) find the time dependent solution.