Consider the heat equation di that models the temperature at a beam with length = The ends of the beam are at zero temperature all the time. The initial temperature at this beam is f(x)=3sin (8x)-5sin (121). Calculate the solution of this equation O O (,)-sin(4x) (-²) # u(x,)-3sin(4x)-(²) -9 2sin (8r)-Ssin (12) 3sin (8x) -64-5sim (12x)e-144

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the heat equation:
f(x)=3sin (8x) - 5ain (121). Calculate the solution of this equation
O
O
#(,1)=
8
ди
that models the temperature at a beam with length L=-. The ends of the beam are at zero temperature all the time. The initial temperature at this beam is
d² di
4
AM) 81
sin(4x) e
(-1²)
-Σsin(4x) -(0²)
ml
2sin (Ar)-Ssin (12r)"
-64
3sim (8) e -5sin (12x) e
-144
Transcribed Image Text:Consider the heat equation: f(x)=3sin (8x) - 5ain (121). Calculate the solution of this equation O O #(,1)= 8 ди that models the temperature at a beam with length L=-. The ends of the beam are at zero temperature all the time. The initial temperature at this beam is d² di 4 AM) 81 sin(4x) e (-1²) -Σsin(4x) -(0²) ml 2sin (Ar)-Ssin (12r)" -64 3sim (8) e -5sin (12x) e -144
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