Problem #1. Consider a vibrating string with time- dependent foring : U, (x,+) = c´Uyx (x,t)+ Q(x,t), XE (0,4), tzo, u (1,t) =0, Uy (0,t) = 0, u (x, o) = 0, u, (a, 0) = f(x). (a) Solve the ini hal foundary ralue problem. (6) Solve me problem wi'th Q(x,t)=9(x) sinlw, 2n-1 2ム 不。 zoi th. w = 7/2L. (e) solve me problem
Problem #1. Consider a vibrating string with time- dependent foring : U, (x,+) = c´Uyx (x,t)+ Q(x,t), XE (0,4), tzo, u (1,t) =0, Uy (0,t) = 0, u (x, o) = 0, u, (a, 0) = f(x). (a) Solve the ini hal foundary ralue problem. (6) Solve me problem wi'th Q(x,t)=9(x) sinlw, 2n-1 2ム 不。 zoi th. w = 7/2L. (e) solve me problem
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![Problem #1.
Conrider a vibrating string
dependent foruing :
u, (x,4) = c*Uxx (x,t)+ Q(x,+], XE (0, L), tzo,
Uy (0,t) = 0,
U (x, 0) = 0,
(a) Solve the ihi hal foundary ralue problem.
(6) Solve me problem un'th Q(x,t)=9(x) sin/oty,
with time -
u (1,t) =0,
U, (x, 0) = f(x).
W# 2n-1
2ム
る。
7h
(e) Solve me problem
zoi th](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ab6aba4-08ae-4aee-8989-a831d8286f98%2F72d5a7e2-a783-4489-be06-3014063c933c%2Fom05hws_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #1.
Conrider a vibrating string
dependent foruing :
u, (x,4) = c*Uxx (x,t)+ Q(x,+], XE (0, L), tzo,
Uy (0,t) = 0,
U (x, 0) = 0,
(a) Solve the ihi hal foundary ralue problem.
(6) Solve me problem un'th Q(x,t)=9(x) sin/oty,
with time -
u (1,t) =0,
U, (x, 0) = f(x).
W# 2n-1
2ム
る。
7h
(e) Solve me problem
zoi th
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