Show transcribed image text 2. An infinitely long string on which waves travel with speed c has an initial displacement u(x, t 0) 0 and an initial speed: au(r, t) =U x) 0. otherwise t=0 (a) Sketch vo(x) (b) Use D'Alambert's solution to find u(x, t) for any t >0. (c) Take vo = c = 1 and sketch t(x + ct), φ(x-ct) and u(z,t) atに1,2, 3.
2. An infinitely long string on which waves travel with speed c has an initial displacement u(x, t 0) 0 and an initial speed: au(r, t) =U x) 0. otherwise t=0 (a) Sketch vo(x) (b) Use D'Alambert's solution to find u(x, t) for any t >0. (c) Take vo = c = 1 and sketch t(x + ct), φ(x-ct) and u(z,t) atに1,2, 3.
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