Question: Elementary partial differential equations , can you solve it fast please , clearly , a , b , c Question 2. (a) Transform the PDE.

Elementary partial differential equations , can you solve it fast please , clearly , a , b , c

Question 2. (a) Transform the PDE. Uxx + 2 Uxy + 10 Uy + U, + U= 0 to the canonical form. (b) Let u(x, y) = e* sin y (D: OS X s 1, 0 sys TT/2) Show that u(x, y) is harmonic in D and find the maximum value of u(x,y) in D.Question2. (c) Show that the function u(x, y) = (1 + y) sin2x solution for the equation Uxx + 4 (1 + y) uy = 0, ( D : (0,TT) *(0,TT) ) and find its maximum value in the given region

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