Use the method of fourier transform to determine displacement y (x, t) of an infinite string, given that the string is initially at rest and initial displacement is f (x) for - -∞

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Use the method of fourier transform to
determine displacement y (x, t) of an infinite
string, given that the string is initially at rest
and initial displacement is f (x) for 18x8
show that the solution can be put in the form
y(x,t) = -1 [ƒ(x-ct) + f(x+ct)]
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Transcribed Image Text:Use the method of fourier transform to determine displacement y (x, t) of an infinite string, given that the string is initially at rest and initial displacement is f (x) for 18x8 show that the solution can be put in the form y(x,t) = -1 [ƒ(x-ct) + f(x+ct)] -
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