SOLVED: (a) Give careful derivation of d'Alembert's general solution of the wave equation:8u I eR t > 0, with no boundary conditions. [11 marks] (b) Derive the general formula for the solution of the wave equation subject to the initial conditions: u(t,0) = f(z), and u(z,0) = g(r), where f and g are given functions. [11 marks] Explain how to modify the above in order to solve the problem: u(z,0) = f(1), and g(0) = 0, for [0,oo), and u(0,t) = h(t). [11 marks]
SOLVED: (a) Give careful derivation of d'Alembert's general solution o…
Oct 24, 2021
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