Consider Which of the followings are correct? 1. It is a Dirichlet type Cauchy problem for wave equation. II. It is homogeneous. III. It has solution u(x, t) = (cos(x +31) + cos(x - 3t))+1+xt + IV. It has unique solution. V. It satisfies Cauchy-Kovalevskaya theorem. Unt - 9Uxx 00 + ¼ [√/²0 (¹ + - = sin x, t> 0, u(x, 0) = cos x, u₁(x,0) = 1 + x. (1 + x)dtdx -8< x <∞0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Consider
Which of the followings are correct?
1. It is a Dirichlet type Cauchy problem for wave equation.
II. It is homogeneous.
III. It has solution
u(x, t) = (cos(x +31) + cos(x-31)) + 1 + xt +
IV. It has unique solution.
V. It satisfies Cauchy-Kovalevskaya theorem.
A. I,II, III, IV, V
B. I,III,IV
C. III, IV
D. I,III, IV,V
Utt
-9uxx
00
- [√ a +
= sin x, t> 0,
u(x, 0) = cos x,
u₁(x, 0) = 1 + x.
(1 + x)dtdx
-∞0 < x <∞
Transcribed Image Text:Consider Which of the followings are correct? 1. It is a Dirichlet type Cauchy problem for wave equation. II. It is homogeneous. III. It has solution u(x, t) = (cos(x +31) + cos(x-31)) + 1 + xt + IV. It has unique solution. V. It satisfies Cauchy-Kovalevskaya theorem. A. I,II, III, IV, V B. I,III,IV C. III, IV D. I,III, IV,V Utt -9uxx 00 - [√ a + = sin x, t> 0, u(x, 0) = cos x, u₁(x, 0) = 1 + x. (1 + x)dtdx -∞0 < x <∞
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