Asked by Margo
Show that u(x, t) = f(x−ct)+g(x+ct), where c is a constant and f and g have continuous second derivatives, is a solution of the wave equation in
one dimension, ie (∂t)^2 u = c^2 ∂x^2 u. Note that this solution to the wave equation consists of two functions who keep the same shape but travel to the left and right with speed c.
one dimension, ie (∂t)^2 u = c^2 ∂x^2 u. Note that this solution to the wave equation consists of two functions who keep the same shape but travel to the left and right with speed c.
Answers
Answered by
Steve
so, do you have a problem taking the partials and showing that they fit the equation?
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