12.47. Solve the boundary-value problem J²y at2 if (a) f(x) = 4 a²y dx2¹ 5 sin , y(0, t) = y(5, t) = 0, y(x, 0) = 0, (b) f(x) = 3 sin 27x - 2 sin 57x. y₁(x, 0) = f(x)
12.47. Solve the boundary-value problem J²y at2 if (a) f(x) = 4 a²y dx2¹ 5 sin , y(0, t) = y(5, t) = 0, y(x, 0) = 0, (b) f(x) = 3 sin 27x - 2 sin 57x. y₁(x, 0) = f(x)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
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Transcribed Image Text:12.47. Solve the boundary-value problem
2²y
at²
= 5 sin #x,
if (a) f(x)
= 4
2²y
0x2¹
y(0, t) = y(5, t) = 0,
(b) f(x) = 3 sin 2x
y (x, 0)
2 sin 57x.
0,
yt(x, 0) = f(x)
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