4. Solve the Cauchy problem Utt = 9uxx+cos x, (x, t) E Rx (0, ∞) u(x,0)=0, TER u(a,0)=0, x ER using Duhamel's principle.

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A: This question is related to differential equations, We will solve it using given information.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Using Derivatives.

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Q: "+2y(y)² = 0 =1^²)={1^²/ LV=X+C₂ y(x) = c₂e¹1* - 1 . (C₂-y)² + x² = C₁ :C. -In(c 2) 71

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A: Solution of the given question is like as

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A: Answer