Q5. a) Find u(x,t) from the wave equation, where length of string is L =1, c² =1 and the initial velocity is zero and the initial deflection is as follows. (CLO-2, PLO-3) : 1/41 1/4 3/4 -1/4
Q5. a) Find u(x,t) from the wave equation, where length of string is L =1, c² =1 and the initial velocity is zero and the initial deflection is as follows. (CLO-2, PLO-3) : 1/41 1/4 3/4 -1/4
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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please solve this
![Q5. a) Find u(x,t) from the wave equation, where length of string is L=1, c² =1 and the
initial velocity is zero and the initial deflection is as follows. (CLO-2, PLO-3)
: 1/4 ]
1/4
3/4
-1/4
b) Find the temperature u(x,t) from the heat equation in a laterally insulated copper
bar 80 cm long with c²=1.158 cm?/sec. If the initial temperature is represented by
the below graph and the ends are kept at 0°C.
(CLO-2, PLO-3)
f(x)
1
1/2
y=x^2
1/2
3/2
in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3a9c0b7-7d16-4485-a4e5-89cf18851bbd%2Fe9a5d095-b36f-450d-b58b-c7967019b6a8%2Fviv4p94_processed.png&w=3840&q=75)
Transcribed Image Text:Q5. a) Find u(x,t) from the wave equation, where length of string is L=1, c² =1 and the
initial velocity is zero and the initial deflection is as follows. (CLO-2, PLO-3)
: 1/4 ]
1/4
3/4
-1/4
b) Find the temperature u(x,t) from the heat equation in a laterally insulated copper
bar 80 cm long with c²=1.158 cm?/sec. If the initial temperature is represented by
the below graph and the ends are kept at 0°C.
(CLO-2, PLO-3)
f(x)
1
1/2
y=x^2
1/2
3/2
in
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