2. Consider the second order PDE ur + Ut,x 2ut,t = 0. Ux,x = 0....

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2. Consider the second order PDE ur + Ut,x – 2ut,t = 0. Ux,x = 0. - (a) Is the PDE elliptic, parabolic or hyperbolic? Justify your answer. points) (2 (b) Find the general solution for the PDE. (Hint: You can factor the differ- ential operator) (6 points) 2. Consider the second order PDE ur + Ut,x – 2ut,t = 0. Ux,x = 0. - (a) Is the PDE elliptic, parabolic or hyperbolic? Justify your answer. points) (2 (b) Find the general solution for the PDE. (Hint: You can factor the differ- ential operator) (6 points)