8.8 The transverse vibration of a string of length I = 2 is governed by the equation a²w 16- ax2 The boundary and initial conditions of the string are given by

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Chapter2: Second-order Linear Odes
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8.8 The transverse vibration of a string of length I = 2
is governed by the equation
a?w
a²w
16-
ax2
The boundary and initial conditions of the string are
given by
w(0,t) = 0,
w(2,t) = 0
-(x, 0) = 0
at
w(x, 0) = 0.1x(2 – x),
Find the displacement of the string, w(x,t).
Transcribed Image Text:8.8 The transverse vibration of a string of length I = 2 is governed by the equation a?w a²w 16- ax2 The boundary and initial conditions of the string are given by w(0,t) = 0, w(2,t) = 0 -(x, 0) = 0 at w(x, 0) = 0.1x(2 – x), Find the displacement of the string, w(x,t).
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