I need the answer as soon as possible Given that the eigenvalues and eigenfunctions of the SLPy" + ày = 0,y'(0) = 0,y(L) = 0%3Dare An = ()° and y, = cos(2n–1)"(2n–1)mx)nEN2L22Let the BVP u = uxx, 0 0u, (0, t) = u (.t) = 0%3Du(x,0) = cos(3x)Then the solution of the BVP isA) u(x, t) = sin(3t) cos(3x)B) u(x,t) = sin (÷t) cos (;*x)C) u(x,t) = e-9t cos(3x)D) u(x, t) = e-t/4 cos(;x)E) None

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Given that the eigenvalues and eigenfunctions of the SLP y" + ày = 0, y'(0) = 0, y(L) = 0 (2n-1)m ((2n-1)mx' A, = (=) and y, = cos 22 are 2L Let the BVP u = u, 0 0 u, (0, t) = u (5.t) = 0 u(x,0) = cos(3x) Then the solution of the BVP is A) u(x, t) = sin(3t) cos(3x) B) u(x,t) = sin (t) cas x) C) u(x, t) = e-t cos(3x) D) u(x,t) = e-t/* cos (;x) E) None

Given that the eigenvalues and eigenfunctions of the SLP y" + ày = 0, y'(0) = 0, y(L) = 0 (2n-1)m ((2n-1)mx' A, = (=) and y, = cos 22 are 2L Let the BVP u = u, 0 0 u, (0, t) = u (5.t) = 0 u(x,0) = cos(3x) Then the solution of the BVP is A) u(x, t) = sin(3t) cos(3x) B) u(x,t) = sin (t) cas x) C) u(x, t) = e-t cos(3x) D) u(x,t) = e-t/* cos (;x) E) None

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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Question

I need the answer as soon as possible

Given that the eigenvalues and eigenfunctions of the SLP
y" + ày = 0,
y'(0) = 0,
y(L) = 0
%3D
are An = ()° and y, = cos
(2n–1)"
(2n–1)mx)
nEN
2L
22
Let the BVP u = uxx, 0<x <, t> 0
u, (0, t) = u (.t) = 0
%3D
u(x,0) = cos(3x)
Then the solution of the BVP is
A) u(x, t) = sin(3t) cos(3x)
B) u(x,t) = sin (÷t) cos (;*x)
C) u(x,t) = e-9t cos(3x)
D) u(x, t) = e-t/4 cos
(;x)
E) None

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