## Question

###### Write down an explicit formula for the solution of the wave equation:u(1,0) = sinI, "(1,0) COsI. u(0.t) = 0 1 > 0. +> 0The solution is periodic function of t, true O1 false? Now solve the forced problem40Ir coSwt.u(r.0) sin I, "(r.0) CUR Ia "(0.t) = 0 r > 0, t > 0.Consider the cases W= 1 and L ` In what essential aspect do the two solutions differ from each other. and from the solution in part (a)?4471

Write down an explicit formula for the solution of the wave equation: u(1,0) = sinI, "(1,0) COsI. u(0.t) = 0 1 > 0. +> 0 The solution is periodic function of t, true O1 false? Now solve the forced problem 40Ir coSwt. u(r.0) sin I, "(r.0) CUR Ia "(0.t) = 0 r > 0, t > 0. Consider the cases W= 1 and L ` In what essential aspect do the two solutions differ from each other. and from the solution in part (a)? 4471

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