Consider the following boundary value problem (BVP) a?u a?u 0 < x < T, 0 < y < 1 (1) əx² ' əy²’ и, (0, у) %3D и, (п, у) — 0, 0 < y < 1 (2) = и(х,0) — х, и(х, 1) — 1, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following boundary value problem (BVP)
a?u a?u
0 < x < T,
0 < y < 1 (1)
əx² ' əy²’
и, (0, у) %3D и, (п, у) — 0,
0 < y < 1
(2)
=
и(х,0) — х, и(х, 1) — 1,
0 <x < n
(3)
I.
Equation (1) is the Laplace's equation
I.
To solve the problem (1)-(3) we can use the method of separation of
variables.
III.
To solve the problem (1)-(3) we can use the Finite Fourier Cosine transform
IV.
To solve the problem (1)-(3) we can use the Finite Fourier Sine transform
V.
Type of the equation (1) is hyperbolic
Which of the statements given above are true for the problem (1)-(3)?
I, II, III, IV, V
A
B
II, III, V
I, II, III, V
D
I, II, II
E
I, II, IV, V
Transcribed Image Text:Consider the following boundary value problem (BVP) a?u a?u 0 < x < T, 0 < y < 1 (1) əx² ' əy²’ и, (0, у) %3D и, (п, у) — 0, 0 < y < 1 (2) = и(х,0) — х, и(х, 1) — 1, 0 <x < n (3) I. Equation (1) is the Laplace's equation I. To solve the problem (1)-(3) we can use the method of separation of variables. III. To solve the problem (1)-(3) we can use the Finite Fourier Cosine transform IV. To solve the problem (1)-(3) we can use the Finite Fourier Sine transform V. Type of the equation (1) is hyperbolic Which of the statements given above are true for the problem (1)-(3)? I, II, III, IV, V A B II, III, V I, II, III, V D I, II, II E I, II, IV, V
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