[solved]-Consider The Wave Equation 2tu C22xu Ux 0 Eikx Write The Solution As Ux T Et Eikx A Determine B List Both Of The Possible Solutions C Each Of The Solutions Listed In Part B Is A Traveling Wa 75153(1)

. Consider the wave equation, ∂^2tu = c^2∂^2xu, u(x, 0) = e^ikx. Write the solution as u(x, t) = e^λt e^ikx .(a) Determine λ.(b) List both of the possible solutions.(c) Each of the solutions listed in part (b) is a travelingwave. What is the wave speed for each one? In which direction (leftor right) does each one travel?

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