b) We are interested in the oscillatory solution given by If the boundary conditions are Identify the correct form of the solution: ○ X(x) = a₂ sin(nπx) ○ X(x) = a₂ sin((2n-1)=x) cos (√|C|x) + a2 sin (√|C|x) u(x = 0,t) = 0 u(x = 1,t) = 0 OX(x) = a₂ cos((2n-1)=r) X(x) = a₁ cos( O X(x)= a₂ cos(nxx)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b)
We are interested in the oscillatory solution given by
If the boundary conditions are
Identify the correct form of the solution:
○ X(x) = a₂ sin(nπx) ○ X(x) = a₂ sin((2n-1)=x)
cos (√|C|x) + a2 sin (√|C|x)
u(x = 0,t) = 0
u(x = 1,t) = 0
OX(x) = a₂ cos((2n-1)=r)
X(x) = a₁ cos(
O X(x)= a₂ cos(nxx)
Transcribed Image Text:b) We are interested in the oscillatory solution given by If the boundary conditions are Identify the correct form of the solution: ○ X(x) = a₂ sin(nπx) ○ X(x) = a₂ sin((2n-1)=x) cos (√|C|x) + a2 sin (√|C|x) u(x = 0,t) = 0 u(x = 1,t) = 0 OX(x) = a₂ cos((2n-1)=r) X(x) = a₁ cos( O X(x)= a₂ cos(nxx)
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