Determine the principal part of the following 2nd order PDE and change the principal part to canonical form (without mixed derivatives). Uxx+8Uxy+4U₁ = 0. 9. Transform the following equations to a canonical form (i.e. without cross-derivatives): (i) 4U 12Uxy+9Uyy = 0. (ii) 2Uxx - 4Uxy - 6Uyy + Ur = 0. (iii) Urr+2Ury + 17Uyy = 0. To which type do each of the equations above belongs to? 9. (2) use x = x, we Fel y' = −x + Y, 34₁ = 3/4 So PDE becomes Scanned with CS CamScanner 2/41xx + 2-(-6)-4 + Ux. Uy' = 0 2° & > Ux'x' - 8Uy'y' + Ux' + Uy' = 0
Determine the principal part of the following 2nd order PDE and change the principal part to canonical form (without mixed derivatives). Uxx+8Uxy+4U₁ = 0. 9. Transform the following equations to a canonical form (i.e. without cross-derivatives): (i) 4U 12Uxy+9Uyy = 0. (ii) 2Uxx - 4Uxy - 6Uyy + Ur = 0. (iii) Urr+2Ury + 17Uyy = 0. To which type do each of the equations above belongs to? 9. (2) use x = x, we Fel y' = −x + Y, 34₁ = 3/4 So PDE becomes Scanned with CS CamScanner 2/41xx + 2-(-6)-4 + Ux. Uy' = 0 2° & > Ux'x' - 8Uy'y' + Ux' + Uy' = 0
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.7: Quadratic Functions And Complex Numbers
Problem 9P
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Could you please help me solve the question ( that has no solution attached )using a method similar to the one my teacher used in class? I'd like to consolidate this solution with my class notes. For reference,I have linked a similar exercise question and the solution my teacher gave for it.

Transcribed Image Text:Determine the principal part of the following 2nd order PDE and change the
principal part to canonical form (without mixed derivatives).
Uxx+8Uxy+4U₁ = 0.

Transcribed Image Text:9. Transform the following equations to a canonical form (i.e. without cross-derivatives):
(i) 4U 12Uxy+9Uyy = 0.
(ii) 2Uxx - 4Uxy - 6Uyy + Ur = 0.
(iii) Urr+2Ury + 17Uyy = 0.
To which type do each of the equations above belongs to?
9.
(2)
use
x = x,
we
Fel
y' = −x + Y,
34₁ = 3/4
So PDE becomes
Scanned with
CS CamScanner
2/41xx +
2-(-6)-4
+ Ux. Uy' = 0
2°
&
> Ux'x' - 8Uy'y' + Ux' + Uy'
= 0
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