u(x,0) = 2+x, o- 3. b) Solve the following heat equation by using the method of separation of variables & UTM UTM SUTM du Fu 2 at with boundary conditions TM 8 UTM ở 0 0, %3D 6 UTM E9 UTM SUTM u (0, t) — 0, и(3, t) 3 0, t20, UTM &UTM UTM 6 UTM UTM &UTM UTM u(x,0) = 2+ x, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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u(x,0) = 2 + x, 0<x<3.
b) Solve the following heat equation by using the method of separation of
variables
5 UTM UTM 6
ди
Pu
2-
TM & UTM 5 UT
0 <r< 3, t> 0,
5 UTM
Ət
with boundary conditions
UTM
UTM U
8 UTM
UTM
u(0, t) — 0, и(3, t) 3 0, t20,
UTM & UTM UTM
& UTM
& UTM
ITM
u(x,0) = 2 + x, 0 < x< 3.
OTM & UTM & UTM
ITM
& UTM
TM
Transcribed Image Text:u(x,0) = 2 + x, 0<x<3. b) Solve the following heat equation by using the method of separation of variables 5 UTM UTM 6 ди Pu 2- TM & UTM 5 UT 0 <r< 3, t> 0, 5 UTM Ət with boundary conditions UTM UTM U 8 UTM UTM u(0, t) — 0, и(3, t) 3 0, t20, UTM & UTM UTM & UTM & UTM ITM u(x,0) = 2 + x, 0 < x< 3. OTM & UTM & UTM ITM & UTM TM
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