Solving for the non-trivial solution of = c with the initial conditions azy ax y(x,0) = a sin = 0 and the boundary conditions, y(0,t) = 0, y(I, t) = 0, we get at t=0 %3D (ay one stage the solution of the form y = Bsin px(Ccos cpt + Dsin cpt). After using 2. = 0, %3D we get (a)B = 0 (b) D = 0 (c) sin px = 0 (d)c = 0 %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solving for the non-trivial solution of
= c2 d*y
with the initial conditions
y(x,0) = a sin
= 0 and the boundary conditions, y(0,t) = 0, y(1, t) = 0, we get at
t=0
one stage the solution of the form y = Bsin px(Ccos cpt + Dsin cpt). After using
= 0,
t=0
we get
(a)B = 0
(b) D = 0
(c) sin px = 0
(d)c = 0
O a
Transcribed Image Text:Solving for the non-trivial solution of = c2 d*y with the initial conditions y(x,0) = a sin = 0 and the boundary conditions, y(0,t) = 0, y(1, t) = 0, we get at t=0 one stage the solution of the form y = Bsin px(Ccos cpt + Dsin cpt). After using = 0, t=0 we get (a)B = 0 (b) D = 0 (c) sin px = 0 (d)c = 0 O a
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