If u, – 4u – u =0 u(x,0) = 10e Then u(z,t) = O 10e z14t O 10e z dt O 10e 21 O 10e zit 10e O 10e O 10e z2 O 10e t

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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If the general solution for u = tt
u(z,0) = 0, u, (z,0) = -2 sin(2z) – 8 sin(4z) + 12 sin(3z)
u(0, t)) = 0; u(n, t) 0
is u(r, t) = la, cos(nt) + b, sin(nt)). Then
%3D
O by- 1, by-4, by = 2
O b- -1, by - 4, be = 2
O b = -1, by = 4, b4-2
!!
O b = 1, ba= 4, b= 2
O b = 1, ba= 4, b4-2
O b - 1, by 4, b -2
O b--1, by
= -4, by-2
O b 1, by 4, ba = 2
Transcribed Image Text:If the general solution for u = tt u(z,0) = 0, u, (z,0) = -2 sin(2z) – 8 sin(4z) + 12 sin(3z) u(0, t)) = 0; u(n, t) 0 is u(r, t) = la, cos(nt) + b, sin(nt)). Then %3D O by- 1, by-4, by = 2 O b- -1, by - 4, be = 2 O b = -1, by = 4, b4-2 !! O b = 1, ba= 4, b= 2 O b = 1, ba= 4, b4-2 O b - 1, by 4, b -2 O b--1, by = -4, by-2 O b 1, by 4, ba = 2
If u, – 4u – u =0 u(r,0) = 10e
Then u(z, t) =
O 10e z14t
O 10e z dt
O 10e 21
O 10e zit
10e
O 10e
O 10e z12
O 10e t
Transcribed Image Text:If u, – 4u – u =0 u(r,0) = 10e Then u(z, t) = O 10e z14t O 10e z dt O 10e 21 O 10e zit 10e O 10e O 10e z12 O 10e t
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