5. A string with rigidity 100 unit and a length a unit has one end free and the other end fixed. Initially the string ha
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5. A string with rigidity 100 unit and a length a unit has one end free and the other end fixed. Initially the string ha
5. A string with rigidity 100 unit and a length a unit has one end free and the other end fixed. Initially the string has a vertical displacement of the shape 2 sin( 3 )+sin(7) with zero velocity, where x is the length measured from the fixed end. Define and solve the boundary value problem for the vertical displacement y(x, t) of this string with respect to time and position. (20 marks)
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