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Consider the following second-order partial differential equation : *,), z>0,y > 0. (G) 1. The equation (F) is : a) Hyperbolic Equation b) Parabolic Equation e) Elliptic Equation d) None of the nhove 2. The characteristics equations corresponding to (G) are: a) = and =-2. b) =3 and = 4. e)2 =. d) None of the aboe. 3. Using the change of variable a = r + and 8= y, the canonical form of (G) is: m) Has +a =0. b) uga + M, = 0. c) ugg - Jus = 0. d) None of the above. 4. Let f nnd g two arbitrary real valued funetions. A general solution of (G) is: a) u(2, y) = f(x² +y²) + y²g(x² + g²). b}u(x, y) = f(x) +r*g(r* +y®). e) u(x,y) = {(x) +²g(x² + y?). d) None of the above.

Consider the following second-order partial differential equation : *,), z>0,y > 0. (G) 1. The equation (F) is : a) Hyperbolic Equation b) Parabolic Equation e) Elliptic Equation d) None of the nhove 2. The characteristics equations corresponding to (G) are: a) = and =-2. b) =3 and = 4. e)2 =. d) None of the aboe. 3. Using the change of variable a = r + and 8= y, the canonical form of (G) is: m) Has +a =0. b) uga + M, = 0. c) ugg - Jus = 0. d) None of the above. 4. Let f nnd g two arbitrary real valued funetions. A general solution of (G) is: a) u(2, y) = f(x² +y²) + y²g(x² + g²). b}u(x, y) = f(x) +r*g(r* +y®). e) u(x,y) = {(x) +²g(x² + y?). d) None of the above.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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pde part 3
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.
Transcribed Image 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.
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