sinxcost ; 0< x < pi/2 ; t>0 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x, 0} = 0, u,(x, 0) = 0 %3D
sinxcost ; 0< x < pi/2 ; t>0 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x, 0} = 0, u,(x, 0) = 0 %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
M2
Transcribed Image Text:Please solve the following problem by method
introduced by sinusoidal forcing function
Uxx = Utt - sinxcost ; 0 < x < pi/2 ; t>0
B.C: u(0,t) = 0, u(pi/2,t) = 0
%3D
I.C = u(x,0) =0, ut(x,0) = 0
%3D
3. и., 3D и, — sin x cos t,
0<
t>0
В.С.: и(0, г) %3D 0,
1.С.: «lx, 0) %3D 0,
u,(x. 0) = 0
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