5. A travelling wave is described by y(x, t) = 0.2e-x-3t sin(x + 3t) for x...

 

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5. A travelling wave is described by y(x, t) = 0.2e-x-3t sin(x + 3t) for x and y measured in centimeter and t in seconds (a) Show explicitly that y(x, t) satisfies the one-dimensional wave equation (b) Deduce the wave speed from this. (c) What is the direction of propagation? (10) (3) (2) [15] 5. A travelling wave is described by y(x, t) = 0.2e-x-3t sin(x + 3t) for x and y measured in centimeter and t in seconds (a) Show explicitly that y(x, t) satisfies the one-dimensional wave equation (b) Deduce the wave speed from this. (c) What is the direction of propagation? (10) (3) (2) [15]