a²uThe following equationƏx²= 0, with u(y, a) = 0, u(0, x) = 0, u(y,0) = 0, and u(a, x) = b ,%3D%3Ddescribe the steady state temperature distribution in plate. Then correct statement isSelect one:a. Non-trivial solution is obtained by takingw"= -2² ,where u(x,y) = z(x).w(y)%3DwO b. Non-trivial solution is obtained by taking2"-= -2,where u(y,x) = z(y).w(x)z"c. Non-trivial solution is obtained by taking= -2²,where u(x,y) = z(y).w(x) *O d. Non-trivial solution is obtained by takingw"= -1² ,where u(y,x) = z(y).w(x)w

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The following equation nze azu = 0, with u(y, a) = 0, u(0, x) = 0, u(y,0) = 0, and u(a, x) = b , %3D %3D describe the steady state temperature distribution in plate. Then correct statement is Select one: a. Non-trivial solution is obtained by taking w" = -2² , where u(x,y) = z(x).w(y) w O b. Non-trivial solution is obtained by taking z" = -2² , where u(y,x) = z(y).w(x) c. Non-trivial solution is obtained by taking z" =ー2, where u(x,y)= z(y).w(x) × O d. Non-trivial solution is obtained by taking = -1² , where u(y,x) = z(y).w(x) w

The following equation nze azu = 0, with u(y, a) = 0, u(0, x) = 0, u(y,0) = 0, and u(a, x) = b , %3D %3D describe the steady state temperature distribution in plate. Then correct statement is Select one: a. Non-trivial solution is obtained by taking w" = -2² , where u(x,y) = z(x).w(y) w O b. Non-trivial solution is obtained by taking z" = -2² , where u(y,x) = z(y).w(x) c. Non-trivial solution is obtained by taking z" =ー2, where u(x,y)= z(y).w(x) × O d. Non-trivial solution is obtained by taking = -1² , where u(y,x) = z(y).w(x) w

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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Question

a²u
The following equation
Əx²
= 0, with u(y, a) = 0, u(0, x) = 0, u(y,0) = 0, and u(a, x) = b ,
%3D
%3D
describe the steady state temperature distribution in plate. Then correct statement is
Select one:
a. Non-trivial solution is obtained by taking
w"
= -2² ,
where u(x,y) = z(x).w(y)
%3D
w
O b. Non-trivial solution is obtained by taking
2"
-= -2,
where u(y,x) = z(y).w(x)
z"
c. Non-trivial solution is obtained by taking
= -2²,
where u(x,y) = z(y).w(x) *
O d. Non-trivial solution is obtained by taking
w"
= -1² ,
where u(y,x) = z(y).w(x)
w

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