1. Consider the following partial differential equation: Bra(r, y) – 3(r, y) + 2u(x, 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)«** + g(y)ch*_ is a solution of (E), where f(y), g(y) are two arbitrary functions. a) a = 2 and b= 3 b) a =1 and b= 2 e) a =-2 and b=-1 d) None of the above.
1. Consider the following partial differential equation: Bra(r, y) – 3(r, y) + 2u(x, 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)«** + g(y)ch*_ is a solution of (E), where f(y), g(y) are two arbitrary functions. a) a = 2 and b= 3 b) a =1 and b= 2 e) a =-2 and b=-1 d) None of the above.
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
Transcribed Image 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.
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