Part 3. Use separation of variables to obtain a product solution to the following: 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. Using the method of separation of variables, which of the following is assumed D. ²ua²u + = 0 əx² Əy² Which of the following can be obtained after substitution of your answer in (1)? X -- X X" X Y" = 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 X' Y" X-F Y From the correct answer in (2), the given partial differential equation can be

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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A. 1
B. 2
C. 3
D. 4
If the correct answer in (2) is equal to -λ, 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 + B, 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
A. u A3x + A4Y
B. u = (A3 + A4x) (B3 + B4Y)
C. u = A3 + A4X
D. u = A3 + A4y
Transcribed Image Text:A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -λ, 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 + B, 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 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:
²u ²u
+
əx² əy²
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)?
X
X
X"
X
X'
X
= 0
=
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'
Y
Y"
Y
From the correct answer in (2), the given partial differential equation can be
Transcribed Image Text:Part 3. Use separation of variables to obtain a product solution to the following: ²u ²u + əx² əy² 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)? X X X" X X' X = 0 = 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' Y Y" Y From the correct answer in (2), the given partial differential equation can be
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