Reduce following the heat conduction equation to the ordinary differential equations and separate the given homogeneous boundary conditions by usingthe method of separation of variablesUt=4uxu(0,t)=0, t>0 (the end x-0 is held at zero temperature)u,(2,t)=0, t>0 (no heat loss from this end)AX"-4AX=0, X(0)=0, X(2)=0T'-AT=0,A<0.BX"-AX=0, X(0)=0, X'(2)=0T'-4AT=0.A<0.X"-AX-0, X(0)=0, X(2)=0T'-4AT=0.A>0.X"-AX=0, X(0)-0, X(2)-0T-4AT-0.A<0.X-AX-0, X(0)-0, X'(2)-0T-4AT-0.A0.yazın

Reduce following the heat conduction equation to the ordinary differential equations and separate the given homogeneous boundary conditions by using the method of separation of variables u(0.1)=0, t>0 (the end x-0 is held at zero temperature) u(2t)=0, t>0 (no heat loss from this end) A X"-4AX-0, X(0)=0, X(2)=0 T'-AT=0, A<0. B X-AX=0, X(0)=0, X'(2)=0 T-4AT=0. A<0. C. X"-AX=0, X(0)=0, X(2)-0 T-4AT=0. D. X"-AX-0, X(0)=0, x(2)=0 T-4AT-0. X-AX-0, X(0)-0, X'(2)-0 T-AAT 0.

Reduce following the heat conduction equation to the ordinary differential equations and separate the given homogeneous boundary conditions by using the method of separation of variables u(0.1)=0, t>0 (the end x-0 is held at zero temperature) u(2t)=0, t>0 (no heat loss from this end) A X"-4AX-0, X(0)=0, X(2)=0 T'-AT=0, A<0. B X-AX=0, X(0)=0, X'(2)=0 T-4AT=0. A<0. C. X"-AX=0, X(0)=0, X(2)-0 T-4AT=0. D. X"-AX-0, X(0)=0, x(2)=0 T-4AT-0. X-AX-0, X(0)-0, X'(2)-0 T-AAT 0.

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Reduce following the heat conduction equation to the ordinary differential equations and separate the given homogeneous boundary conditions by using
the method of separation of variables
Ut=4ux
u(0,t)=0, t>0 (the end x-0 is held at zero temperature)
u,(2,t)=0, t>0 (no heat loss from this end)
A
X"-4AX=0, X(0)=0, X(2)=0
T'-AT=0,
A<0.
B
X"-AX=0, X(0)=0, X'(2)=0
T'-4AT=0.
A<0.
X"-AX-0, X(0)=0, X(2)=0
T'-4AT=0.
A>0.
X"-AX=0, X(0)-0, X(2)-0
T-4AT-0.
A<0.
X-AX-0, X(0)-0, X'(2)-0
T-4AT-0.
A0.
yazın

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