= function given by llowing heat equation. du at 0x² 1₁ f(x) = X₂ if 0 ≤ 2-x, if1< u(0, 1) = u(2, 1) = 0,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4) Let f be the function given by
Solve the following heat equation.
du
at
II
a²u
əx²¹
f(x) =
if 0 ≤ x ≤ 1,
2-x, if 1 ≤ x ≤ 2.
u(0, 1) = u(2, 1) = 0,
u(x,0) = f(x).
Transcribed Image Text:4) Let f be the function given by Solve the following heat equation. du at II a²u əx²¹ f(x) = if 0 ≤ x ≤ 1, 2-x, if 1 ≤ x ≤ 2. u(0, 1) = u(2, 1) = 0, u(x,0) = f(x).
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