1. Consider the following partial differential equation: fu (z, y) – 3 (r, y) + 2u(r, y) = 0..(E). Let a and b be two real numbers. For which values of a and b, the function u(x, y) = S(1)e"* +...

pde

Extracted text: 1. Consider the following partial differential equation: fu (z, y) – 3 (r, y) + 2u(r, y) = 0..(E). Let a and b be two real numbers. For which values of a and b, the function u(x, y) = S(1)e"* + g(y)«h*_ is a solution of (E), where f(y), g(u) are two arbitrary functions. a) a = 2 and b= 3 b) a = 1 and 6= 2 c) a = -2 nnd b=-1 d) None of the above.