Show that a smooth solution of the problem ut +uux =0 with
Chapter 14, Problem 8(choose chapter or problem)
Show that a smooth solution of the problem ut +uux =0 with u(x, 0)= cos x mustsatisfytheequation u=cos[(xut)].Showthat u ceases to exist (as a single-valued continuous function) when t = 1/.(Hint: Graph cos1 u versus (xut) as functions of u.)
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