f(x, 0)| If a violin string is plucked (pulled aside and let go), it is possible to find a formula f(x,t) for the displacement at time t vibrating string from its equilibrium position. It turns out that in solving this problem we need to expand the function f(x,0), whose graph is the initial shape of the string, in a Fourier sine series. Find this series if a string of length l is pulled aside a small distance h at its center, as shown. 23. any point x of the

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f(x, 0)|
If a violin string is plucked (pulled aside and let
go), it is possible to find a formula f(x,t) for
the displacement at time t
vibrating string from its equilibrium position. It
turns out that in solving this problem we need
to expand the function f(x,0), whose graph is the initial shape of the string, in a
Fourier sine series. Find this series if a string of length l is pulled aside a small
distance h at its center, as shown.
23.
any point x of the
Transcribed Image Text:f(x, 0)| If a violin string is plucked (pulled aside and let go), it is possible to find a formula f(x,t) for the displacement at time t vibrating string from its equilibrium position. It turns out that in solving this problem we need to expand the function f(x,0), whose graph is the initial shape of the string, in a Fourier sine series. Find this series if a string of length l is pulled aside a small distance h at its center, as shown. 23. any point x of the
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