vt − kvxx = f(x, t) v(0, t) = h(t) for 0 < x < ∞, v(x, 0) = (x), 0 < t <∞

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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[Second Order Equations] How do you solve this question? thank you

2. Solve the completely inhomogeneous diffusion problem on the half-line
Vt - kvxx = f(x, t)
for 0 < x <∞, 0 < t <∞
v(0, t) = h(t)
v(x, 0) = (x),
by carrying out the subtraction method begun in the text.
Transcribed Image Text:2. Solve the completely inhomogeneous diffusion problem on the half-line Vt - kvxx = f(x, t) for 0 < x <∞, 0 < t <∞ v(0, t) = h(t) v(x, 0) = (x), by carrying out the subtraction method begun in the text.
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