A string of length L is secured at both ends. The string has no initial displacement, but has initial velocity f(1) at any point z. Choose the PDE and boundary/initial conditions that model this scenario. Select the partial differential equation that can be used to model this scenario. Pu A. a2 0 0 В. = 0, 0< 0 C. k du 0 < # < L,t > 0 at Select ALL boundary/initial conditions that apply to this scenario du A. = 0, t>0 OB. u(r,0) L, 00 = f(1), 0< < L G. u(0, t) L, t>0 口 Н. = 0, t>0 Ol. u(L, t) = 0, t>0 du 0, t>0 at z-L K. u(r, L) = L, 00 OM. u(r, L) = f(x), 0<

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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A string of length L is secured at both ends. The string has no initial displacement, but has initial velocity f(r) at any point z.
Choose the PDE and boundary/initial conditions that model this scenario.
Select the partial differential equation that can be used to model this scenario.
A. a2
0<I< L,t > 0
В.
= 0, 0<I< L, t > 0
du
C. k
0 < ¤ < L,t > 0
at
Select ALL boundary/initial conditions that apply to this scenario
du
А.
= 0, t>0
z=L
OB. u(x,0) = L, 0<z<L
OC. u(r,0) f(1), 0<< L
OD. u(z,0) = 0, 0<x<L
E.
= 0, t>0
F.
at lt o
f(r), 0<x <L
!!
G. u(0, t) = L, t>0
Н.
= 0, t>0
Ol. u(L, t) = 0, t>0
du
J.
=0, t>0
OK. u(z, L) = L, 0<0< L
OL. u(0, t) 0, t>0
OM. u(r, L)= f(r), 0<<L
!!
N.
= f(x), 0<I<L
Transcribed Image Text:A string of length L is secured at both ends. The string has no initial displacement, but has initial velocity f(r) at any point z. Choose the PDE and boundary/initial conditions that model this scenario. Select the partial differential equation that can be used to model this scenario. A. a2 0<I< L,t > 0 В. = 0, 0<I< L, t > 0 du C. k 0 < ¤ < L,t > 0 at Select ALL boundary/initial conditions that apply to this scenario du А. = 0, t>0 z=L OB. u(x,0) = L, 0<z<L OC. u(r,0) f(1), 0<< L OD. u(z,0) = 0, 0<x<L E. = 0, t>0 F. at lt o f(r), 0<x <L !! G. u(0, t) = L, t>0 Н. = 0, t>0 Ol. u(L, t) = 0, t>0 du J. =0, t>0 OK. u(z, L) = L, 0<0< L OL. u(0, t) 0, t>0 OM. u(r, L)= f(r), 0<<L !! N. = f(x), 0<I<L
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