Consider the partial differential equation Utt.x; t / D Uxx.
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Consider the partial differential equation Utt.x; t / D Uxx.x; t /, which is a special case of the wave equation discuss
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Consider the partial differential equation Utt.x; t / D Uxx.x; t /, which is a special case of the wave equation discussed in Section 12.4. Suppose the following conditions hold: U.x; 0/ D Ut.x; 0/ D 0, U.0; t / D G.t /, and limx!1 U.x; t / D 0. This represents a wave initiated in an initially still medium. Use a Laplace transform in t to find u: What speed does the disturbance at x D 0 propagate at?
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