0, y > 0.(G)1. The equation (F) is :a) Hyperbolic Equationb) Parabolic Equationc) Elliptic Equationd) None of the above2. The characteristics equations corresponding to (G) are:a) # = and =...

Extracted text: Consider the following second-order partial differential equation : 1 yu - 2aryu.y + auyy ry (yu, + r*u,), > 0, y > 0. (G) 1. The equation (F) is : a) Hyperbolic Equation b) Parabolic Equation c) Elliptic Equation d) None of the above 2. The characteristics equations corresponding to (G) are: a) # = and = -2. b) = 3 and d = 4. %3D c) = d) None of the above. 3. Using the change of variable a = r² + y? and B = y, the canonical form of (G) is: a) u33 +ua = 0. b) uga +ua = 0. c) ugs -Jug = 0. d) None of the above. 4. Let f and g two arbitrary real valued functions. A general solution of (G) is: a) u(r, y) = f(r2 + y²) + y²g(x² + y?). b)u(r, y) = f(x) +ag(22 + y?). c) u(r, y) = f(y) +?g(a² + y?). d) None of the above.