Question: Establish that where A, α, b, and c are all constant, is a solution of the differential wave equation. This is a Gaussian or bell-shaped

Establish that

4(y, t) = Ae¯a(by–ct)?

where A, α, b, and c are all constant, is a solution of the differential wave equation. This is a Gaussian or bell-shaped function. What is its speed and direction of travel?

4(y, t) = Aea(byct)?

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