Which of the following solutions obey the boundary conditions X(0) = 0 and X (L) = 0? [tick all that are correct - points will be deducted for wrong answers] □sin (7) □sin (37) □sin() for k integer □ sin(²77) □sin() (2k+1)xz 2L O sin( -) for k integer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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  1. for wave equation, seperation of vairables u(x,t)=X=(x)T(t)
deducted for wrong
Which of the following solutions obey the boundary conditions X(0) = 0 and X (L) = 0? [tick all that are correct - points will
answers]
sin(KT) for k integer
□sin(²1) □ sin(3)
O sin(
(2k+1)πz
2L
-) for k integer
□sin()
□sin(2)
[D/HD] Which of the following PDEs cannot be solved exactly by using the separation of variables u(x, t) = X(x)T(t) or u(x, y, t) = X(x)Y(y)T(t)
d²X
where
=
= CX and Y = DY?
dx²
82u
O
=Q[+]
0 [¹²-X] =
= Q du
O
dr²2
=Q[²+e-t]
dr²
01²
Transcribed Image Text:deducted for wrong Which of the following solutions obey the boundary conditions X(0) = 0 and X (L) = 0? [tick all that are correct - points will answers] sin(KT) for k integer □sin(²1) □ sin(3) O sin( (2k+1)πz 2L -) for k integer □sin() □sin(2) [D/HD] Which of the following PDEs cannot be solved exactly by using the separation of variables u(x, t) = X(x)T(t) or u(x, y, t) = X(x)Y(y)T(t) d²X where = = CX and Y = DY? dx² 82u O =Q[+] 0 [¹²-X] = = Q du O dr²2 =Q[²+e-t] dr² 01²
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