part b please (a) Solve the inhomogeneous 1st order equationU₂ - Ut = costU (x,0) = 0.(b) Solve the inhomogeneous wave equation on the real lineUtt - c²Uzz = sinx, x ERU(x, 0) = 0, Ut(x, 0) = 0.Explain what theory you are using and show your full computations.

Answered: Image /qna-images/answer/db3e3b61-0f35-4ff9-b10e-8363a5212a53.jpg

Answered: (a) Solve the inhomogeneous 1st order…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 36CR

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(a) Solve the inhomogeneous 1st order equation U₂ - Ut = cost U (x,0) = 0. (b) Solve the inhomogeneous wave equation on the real line Utt- c²Uzz = sinx, x ER U(x, 0) = 0, Ut(x, 0) = 0. Explain what theory you are using and show your full computations.