I dont understand why it is 1-1^n. Can you please explain it to me.Thank you
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I dont understand why it is 1-1^n. Can you please explain it to me.Thank you
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In Problems 1 and 2 solve the heat equation (1) subject to the given conditions. Assume a rod of length L. 2. u (0, t) = 0, u (L, t) = 0, t > 0 u (x .
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пл
1 / [x (L – x)] sin
xdx
пл
x dx
L
xL sin
-X – x² sin
L
4L?
1- (-1)"| for n = 1, 2, 3, ...
So the heat equation is,
[1 - (-1)"]
2/12 sin "x
4L2
и (х, 1) %3D
e
n3
n=1
Therefore, the heat equation for the provided conditions
with the assumption of a rod of length L is
[1 - (-1)"] -**/2² sin " x.
Σ
n3
4L2
и (х, () %3D
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n=1
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