Vibrating strings are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Separation of Variables : Vibrating Membrane in Wave Equation - 1. Obtain the solution to the initial-value problem (1) for the given f(x, y), a, and b, and give the relations that define the nodal lines of w, if any. Let c=1 in each case.
(e) f(x, y) = 1.05 sin ...
Vibrating String and d'Alembert's Solution in Wave Equation - 2. Show that, like the wave equation, the given PDE is hyperbolic and find its general solution by introducing the suggested change of variables.
(b) uxx - 4uxy - 5uyy = 0 ........
Please see the at ...