Consider the following partial derivative equation: the equation is in the first attached image from 0 ≤ x ≤ 2 and subject to the boundary and initial conditions: the boundary and initial conditions are in the second attached image Solve the previous problem by means of the method of separation of variables; Must perform a complete analysis of the problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following partial derivative equation:

the equation is in the first attached image

from 0 ≤ x ≤ 2 and subject to the boundary and initial conditions:

the boundary and initial conditions are in the second attached image

Solve the previous problem by means of the method of separation of variables; Must perform a complete analysis of the problem.

du
at
a.
Transcribed Image Text:du at a.
u(0, t) = 0
u(2, t) = 0
-2
(2n+1)xa
u(r, 0) = Co TEz sin (Ent)rz)
Transcribed Image Text:u(0, t) = 0 u(2, t) = 0 -2 (2n+1)xa u(r, 0) = Co TEz sin (Ent)rz)
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