The solution of the heat equation uxx = u1, 0 < x < 2, t > 0, which satisfies the boundary conditions S 2, 0 < x < 1 u(0, t) = u(2, t) = 0 and the initial condition u(x, 0) = f(x), where f (x) = is 0, 1 < x < 2 J 00 u(x, t) = E b, sin( where bn плх n=1 Select one: 1 - cos()] а. пл O b. [1 – (-1)"] c. None of these O d. 2[1 – (–1)"] O e. [1 – cos( ") е. - COS
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Explain
![The solution of the heat equation uxx
= u;, 0 < x < 2, t > 0, which satisfies the boundary conditions
( 2, 0 < x < 1
is
10, 1 < x < 2 S
u(0, t) = u(2, t) = 0 and the initial condition u(x,0) = f(x), where f(x) =
00
υ(x, t) Σ b, sin ( H
NTX
e
where bn
n=1
Select one:
O a. [1 – cos()]
пл
а.
пл
4
O b. [1 – (-1)"]
c. None of these
d. 2[1 – (-1)"]
пл
O e. [1 – cos()I
4
е.
NT
пл
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe91638e-034d-48e2-8b59-8b6a13b3e9dd%2F6a058edb-3e48-4004-8c3b-68e03fb879cc%2Fm0buyn5d_processed.png&w=3840&q=75)
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