Solving = c2 with the initial conditions y(x,0) = ux(l – x), = 0 and the boundary t3D0 %3D conditions y(0,t) = 0, y(l, t) = 0, we get the solution of the form %3D %3D y = (Acos px +Bsin px)(Ccos cpt + Dsin cpt), then A = (a)1 (b)o (c) p (d)-p O a Ob C. O d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solvinga= c2
ax2
with the initial conditions y(x,0) = ux(l-x),
= 0 and the boundary
conditions y(0,t) = 0, y(l, t) = 0, we get the solution of the form
y = (Acos px + Bsin px)(Ccos cpt + Dsin cpt), then A =
%3D
(a)1
(b)0
(c) p
(d)-p
:-
a
C.
O O O O
Transcribed Image Text:Solvinga= c2 ax2 with the initial conditions y(x,0) = ux(l-x), = 0 and the boundary conditions y(0,t) = 0, y(l, t) = 0, we get the solution of the form y = (Acos px + Bsin px)(Ccos cpt + Dsin cpt), then A = %3D (a)1 (b)0 (c) p (d)-p :- a C. O O O O
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