Consider the heat equation du = k- Əx² subject to the boundary conditions u(0, t) = 0 and и(L,t) — 0. %3D Solve the initial value problem if the temperature is initially (b) u(x,0) = 3 sin – sin * %3D (d) u(x, 0) = { 2 L/2< x < L 1 0 < x < L/2

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2.3.3. Consider the heat equation
du
= k-
Ət
subject to the boundary conditions
u(0, t) = 0
and
u(L, t) = 0.
Solve the initial value problem if the temperature is initially
(b) u(x,0) =3 sin " – sin 3TT
%3D
1
(а) и(х,0) -
{
0 < x < L/2
L/2 < x < L
2
Transcribed Image Text:2.3.3. Consider the heat equation du = k- Ət subject to the boundary conditions u(0, t) = 0 and u(L, t) = 0. Solve the initial value problem if the temperature is initially (b) u(x,0) =3 sin " – sin 3TT %3D 1 (а) и(х,0) - { 0 < x < L/2 L/2 < x < L 2
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