Question 2 Find the complete solution for each of the following PDES. (a) 2uxx + 5uzy - 12Uyy = 0 (b) 9urz - 12ury + 4Uyy = 0. (c) Uxx uxy - 6uyy = xsiny. (d) Uxx ÷ Uzy - 6Uyy = xy. (e) UTT UIT (g) Urrrr - - - 2UTY = cos 2x. sin 3y. ung tung x² + y². 1 = 2uxxyyyyyy e-2y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Needed urgenty but required only part c), e) and g)... solve it asap... STRICTLY TO BE HANDWRITTEN ONLY

Question 2
Find the complete solution for each of the following PDEs.
= 0
0.
(a) 2Uxx +5Uxy — 12Uyy
(b) 9uxx 12ury + 4Uyy
(c) Uxx
(d) Urr + Uxy
(e) Urr
(f) UTI
(g) UIIII
--
- uxy - 6uyy = xsiny. V
6Uyy = xy.
2ury = cos 2x. sin 3y.
x² + y².
Uyyyy
-
-
-
Uzy + Uy
·2uxxyy
-
=
=
ex-2y
·
Transcribed Image Text:Question 2 Find the complete solution for each of the following PDEs. = 0 0. (a) 2Uxx +5Uxy — 12Uyy (b) 9uxx 12ury + 4Uyy (c) Uxx (d) Urr + Uxy (e) Urr (f) UTI (g) UIIII -- - uxy - 6uyy = xsiny. V 6Uyy = xy. 2ury = cos 2x. sin 3y. x² + y². Uyyyy - - - Uzy + Uy ·2uxxyy - = = ex-2y ·
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