Physics, 05.05.2020 05:16, broooooo4991

Solve the wave equation utt = uxx subject to boundary and initial conditions of the form u (0, t) = 0 ux (1, t) = 0 u (x, 0) = 0 ut (x, 0) = 1. This would describe a string that is attached to something on the left side, connected to a frictionless hoop/rail system on the right side, and suddenly hit from below in such a way as to impart a constant velocity to the string.

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Solve the wave equation utt = uxx subject to boundary and initial conditions of the form u (0, t) =...