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

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