Use the change of variables D x C ct, D x to transform the p
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Use the change of variables D x C ct, D x to transform the partial differential equation @u @t D c @u @x ; .c D constant
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Use the change of variables D x C ct, D x to transform the partial differential equation @u @t D c @u @x ; .c D constant/ into the simpler equation @v=@ D 0, where v. ; / D v.x C ct; x/ D u.x; t /. This equation says that v. ; / does not depend on , so v D f . / for some arbitrary differentiable function f: What is the corresponding
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