= 3. + 2x for 0< x 0, || y(0,1) = y(2,1) = 0 for t2 0, y(x,0) = 0 , Ôy(x,0) = 0 for 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the longitudinal displacement in a cylinder tendon of length L-2, if, at
the tendon is stretched by a force f(x)=2x and released, The motion of
time zero,
tendon can be described by the following equation. Please solve this equation.
Transcribed Image Text:Consider the longitudinal displacement in a cylinder tendon of length L-2, if, at the tendon is stretched by a force f(x)=2x and released, The motion of time zero, tendon can be described by the following equation. Please solve this equation.
ô² y
= 3-
+ 2x
for 0< x <L, t>0,
y(0,1) = y(2,1) = 0 for t2 0,
ôy(x,0)
y(x,0) = 0 ,
for 0 <x<L,
%3D
In this model, c²= 3 =E/8, where E is the modulus of elasticity of the tendon and 8
is the mass per unit volume, assumed constant.
Transcribed Image Text:ô² y = 3- + 2x for 0< x <L, t>0, y(0,1) = y(2,1) = 0 for t2 0, ôy(x,0) y(x,0) = 0 , for 0 <x<L, %3D In this model, c²= 3 =E/8, where E is the modulus of elasticity of the tendon and 8 is the mass per unit volume, assumed constant.
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