a y 1 2 b 1 2 c 1 y 21 1 0 iii for each of

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Unformatted text preview: y 1 2 (b) 1 2 (c) 1 y 21 1 0 iii) For each of the following PDEs, find the type (hyperbolic, parabolic, or elliptic) and give the general solution: 2 (a) 0 (b) 4 4 0 (c) 4 3 0 2. [50 points] Consider now the 1-D wave equation along with the initial and boundary conditions given in Eq. (2), ,0 2 sin 0, sin , ,0 , Note that the extra term that appears in Eq.(2), 0, sin 0, 0 , , ,0 2 sin 1 0, (2) 1 generally stands for an external force that acts on a system, e.g. a string, and is causing what is known as forced vibrations. The actual analytical solution for this problem is , sin . Implement in MATLAB the equations we derived in class and plot both the analytical and numerical solutions using the main code and subroutine given below, if 96, =12. %solve_1-D Wave (Complete the following missing...
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This document was uploaded on 02/12/2014.

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