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Part 3. Use separation of variables to obtain a product solution to the following: d²ud²u + ax² ay² 1. to be the form of the solution u? A. u= X(x)T(t) B. u = xt C. u = X(x)Y(y) D. u = xy A. B. C. D. Using the method of separation of variables, which of the following is assumed Which of the following can be obtained after substitution of your answer in (1)? 11 11 3. reduced into A. Two first-order ODES B. Two second-order ODES C. A first-order ODE and a second-order ODE D. None of these Y" Y y" Y X=- 0 X" Y" *-* X Y Y" Y From the correct answer in (2), the given partial differential equation can be

Part 3. Use separation of variables to obtain a product solution to the following: d²ud²u + ax² ay² 1. to be the form of the solution u? A. u= X(x)T(t) B. u = xt C. u = X(x)Y(y) D. u = xy A. B. C. D. Using the method of separation of variables, which of the following is assumed Which of the following can be obtained after substitution of your answer in (1)? 11 11 3. reduced into A. Two first-order ODES B. Two second-order ODES C. A first-order ODE and a second-order ODE D. None of these Y" Y y" Y X=- 0 X" Y" *-* X Y Y" Y From the correct answer in (2), the given partial differential equation can be

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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4 A. 1 B.2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5 Using the correct answers in (2) and (4), if λ = -a², the solution is A. u = (A₁ cosh ax + A₂ sinh ax) (B₁ cos ay + B₂ sin ay) B. u = (A₁ cos ax + A₂ sin ax) (B₁ cosh ay + B₂ sinh ay) C. u = (A1 cosh ax + A, sinh ax)(B, cosh ay + B2 sinh ay) D. u = (A₁ cos ax + A₂ sin ax) (B₁ cos ay + B₂ sin ay) Using the correct answers in (2) and (4), if λ = 0, the solution is 6 A. u A3x + A4Y B. u (A3 + A4x) (B3 + B4Y) = C. u= A3 + A4x D. u A3 + A4y
Transcribed Image Text:4 A. 1 B.2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5 Using the correct answers in (2) and (4), if λ = -a², the solution is A. u = (A₁ cosh ax + A₂ sinh ax) (B₁ cos ay + B₂ sin ay) B. u = (A₁ cos ax + A₂ sin ax) (B₁ cosh ay + B₂ sinh ay) C. u = (A1 cosh ax + A, sinh ax)(B, cosh ay + B2 sinh ay) D. u = (A₁ cos ax + A₂ sin ax) (B₁ cos ay + B₂ sin ay) Using the correct answers in (2) and (4), if λ = 0, the solution is 6 A. u A3x + A4Y B. u (A3 + A4x) (B3 + B4Y) = C. u= A3 + A4x D. u A3 + A4y
Part 3. Use separation of variables to obtain a product solution to the following: ²ud²u + əx² ay² 1. to be the form of the solution u? A. u = X(x)T(t) B. u = xt C. u = X(x)Y(y) D. u = xy 2 A. B. C. D. Using the method of separation of variables, which of the following is assumed Which of the following can be obtained after substitution of your answer in (1)? ***** 3. reduced into A. Two first-order ODES B. Two second-order ODES = 0 X" Y" Y X = Y" Y Y' X=Y C. A first-order ODE and a second-order ODE D. None of these From the correct answer in (2), the given partial differential equation can be Y" Y
Transcribed Image Text:Part 3. Use separation of variables to obtain a product solution to the following: ²ud²u + əx² ay² 1. to be the form of the solution u? A. u = X(x)T(t) B. u = xt C. u = X(x)Y(y) D. u = xy 2 A. B. C. D. Using the method of separation of variables, which of the following is assumed Which of the following can be obtained after substitution of your answer in (1)? ***** 3. reduced into A. Two first-order ODES B. Two second-order ODES = 0 X" Y" Y X = Y" Y Y' X=Y C. A first-order ODE and a second-order ODE D. None of these From the correct answer in (2), the given partial differential equation can be Y" Y
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