pde part 4 0, y > 0,(G)1. The equation (F) is :n) Hyperbolic Equationb) Parabolic Equatione) Elliptic Equationd) None of the nbove2. The characteristics equations corresponding to (G) are:a) =...

pde part 4Consider the following second-order partial differential equation:<br>(1*uz + =0, y > 0, (G) 1. The equation (F) is : n) Hyperbolic Equation b) Parabolic Equation e) Elliptic Equation d) None of the nbove 2. The characteristics equations corresponding to (G) are: a) = and =-2 b)嘉=3 and -4. e) 2 =- d) None of the above. 3. Using the change of variable a = z + y? and 8 = y, the canonical form of (G) is: n) Mas+ =0. b) uga + M, =0. e) Mgg -Jug = 0. d) None of the above. 4. Let f und g two arbitrary real valued functions. A general solution of (G) is: a) u(1, y) = f(r²+y?) + y²g(r² + y²). bju(r, y) = f(x) +r*g(x* + y*). e) u(x, y) = f(x)+²g(x² + y?). d) None of the above. "/>
Extracted text: Consider the following second-order partial differential equation: (1*uz + ="uy), =>0, y > 0, (G) 1. The equation (F) is : n) Hyperbolic Equation b) Parabolic Equation e) Elliptic Equation d) None of the nbove 2. The characteristics equations corresponding to (G) are: a) = and =-2 b)嘉=3 and -4. e) 2 =- d) None of the above. 3. Using the change of variable a = z + y? and 8 = y, the canonical form of (G) is: n) Mas+ =0. b) uga + M, =0. e) Mgg -Jug = 0. d) None of the above. 4. Let f und g two arbitrary real valued functions. A general solution of (G) is: a) u(1, y) = f(r²+y?) + y²g(r² + y²). bju(r, y) = f(x) +r*g(x* + y*). e) u(x, y) = f(x)+²g(x² + y?). d) None of the above.

Jun 04, 2022
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