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
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,