Use the Laplace transform to solve utt =c2uxx+cost sinx

Chapter 12, Problem 6

(choose chapter or problem)

Use the Laplace transform to solve utt =c2uxx+cost sinx for 0 < x < 1 u(0,t)=u(1,t)=u(x,0)=ut(x,0)=0. Assumethat>0andbecarefulofthecase =c.Checkyouranswer by direct differentiation.

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