12.47. Solve the boundary-value problem 2²y at2 if (a) f(x) = 4 a²y dx2, 5 sin , y(0, t) = y(5, t) = 0, (b) f(x) = 3 sin 27x - y(x, 0) = 0, 2 sin 57x. y₁(x, 0) = f(x)
12.47. Solve the boundary-value problem 2²y at2 if (a) f(x) = 4 a²y dx2, 5 sin , y(0, t) = y(5, t) = 0, (b) f(x) = 3 sin 27x - y(x, 0) = 0, 2 sin 57x. y₁(x, 0) = f(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:12.47. Solve the boundary-value problem
8²y
at²
if
(a) f(x)
1
= 4
อบ
əx2⁹
5 sin Tx,
y(0, t)
(b) f(x)
=
y (5, t) = 0,
= 3 sin 27x
-
y(x, 0)
2 sin 57x.
-
0,
Y₁(x, 0)
= f(x)
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