1 of 2 AutomauIC 2Oom receive fill credits. When finished, please scan your answers in one single PDF and it to dropbox/Test1 on Pilot by 6:10 pm. 1. (9 pts) Determine the types of the following partial differential equations (a) 4ugz - 4uæy + Uyy = 0 | (b) Uxx + 2uzy + 2uyy = 0 (c) Uzz + 3uxy + 2uyy = 0 2. (6 pts) Suppose that the Fourier series expansion for function 2 cos x, if - Ħ < x < 0 f (x) = sin x, if 0 < x < T in (-7, 7) is in the form of F (x) = (an cos A,r + b, sin A,2), n=0 What is An =? What is F (x) =? (10 nta) Congidor the temperature in a uniform rod of length 2 if the initial tem
1 of 2 AutomauIC 2Oom receive fill credits. When finished, please scan your answers in one single PDF and it to dropbox/Test1 on Pilot by 6:10 pm. 1. (9 pts) Determine the types of the following partial differential equations (a) 4ugz - 4uæy + Uyy = 0 | (b) Uxx + 2uzy + 2uyy = 0 (c) Uzz + 3uxy + 2uyy = 0 2. (6 pts) Suppose that the Fourier series expansion for function 2 cos x, if - Ħ < x < 0 f (x) = sin x, if 0 < x < T in (-7, 7) is in the form of F (x) = (an cos A,r + b, sin A,2), n=0 What is An =? What is F (x) =? (10 nta) Congidor the temperature in a uniform rod of length 2 if the initial tem
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1 of 2
AutomauIC 2Oom
receive fill credits. When finished, please scan your answers in one single PDF and
it to dropbox/Test1 on Pilot by 6:10 pm.
1. (9 pts) Determine the types of the following partial differential equations
(a) 4ugz - 4uæy + Uyy
= 0
|
(b) Uxx + 2uzy + 2uyy = 0
(c) Uzz + 3uxy + 2uyy = 0
2. (6 pts) Suppose that the Fourier series expansion for function
2 cos x,
if
- Ħ < x < 0
f (x) =
sin x,
if
0 < x < T
in (-7, 7) is in the form of
F (x) = (an cos A,r + b, sin A,2),
n=0
What is An =? What is F (x) =?
(10 nta) Congidor the temperature in a uniform rod of length 2 if the initial tem
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