u(0, t) = 0, u(3, t) = 0, 120, a) Use the d'Alembert solution to solve UTM UTM Fu 1Pu UTMUTM -00
u(0, t) = 0, u(3, t) = 0, 120, a) Use the d'Alembert solution to solve UTM UTM Fu 1Pu UTMUTM -00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer all questions
![u(x,0) = 2+ x, 0< <3.
6 UTM UTM 6 UT
a) Use the d'Alembert solution to solve
UT
5 UTM
u
UTM UTM UTA
-00 < < 00, t 20,
18u
5 UTM UTM UTM
= Cos² r, u(r,0) = e**1.
COS
b) Solve the following heat equation by using the method of separation of
UTM UTM
UTM UT
variables
UTM UTM
UTM UTM UTM
5 UTM S UTM
du
u
3 2-
with boundary conditions
UTM UTM G UTM
M S UTM 8 U
UTM
UTM
aUTM UT
UTM BUTM UTM
and initial
120,
UTM UT
SUTM UTM
UTM UTM
UTM UTM
UTM UT
UTM Sy
UT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22e71249-6bc2-4341-a4be-5dfc30f1742f%2F8cd3b46d-41c8-4464-a142-f88237ca28ca%2Fcv9bfgs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:u(x,0) = 2+ x, 0< <3.
6 UTM UTM 6 UT
a) Use the d'Alembert solution to solve
UT
5 UTM
u
UTM UTM UTA
-00 < < 00, t 20,
18u
5 UTM UTM UTM
= Cos² r, u(r,0) = e**1.
COS
b) Solve the following heat equation by using the method of separation of
UTM UTM
UTM UT
variables
UTM UTM
UTM UTM UTM
5 UTM S UTM
du
u
3 2-
with boundary conditions
UTM UTM G UTM
M S UTM 8 U
UTM
UTM
aUTM UT
UTM BUTM UTM
and initial
120,
UTM UT
SUTM UTM
UTM UTM
UTM UTM
UTM UT
UTM Sy
UT
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