Solve the Boundary-Initial Value Problem du Ət k d²u Əx² = du dx u(x,0) = x², > ·(0, t) = 0, where an = du dx 00 ∞ 2 L u(x, t) ane (-²¹) cos (172) (2² = L n=0 -(L,t) = 0, t>0 n> 1 Remember that has already been factored out! 2 L
Solve the Boundary-Initial Value Problem du Ət k d²u Əx² = du dx u(x,0) = x², > ·(0, t) = 0, where an = du dx 00 ∞ 2 L u(x, t) ane (-²¹) cos (172) (2² = L n=0 -(L,t) = 0, t>0 n> 1 Remember that has already been factored out! 2 L
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Related questions
Question
![Solve the Boundary-Initial Value Problem
du
Ət
k
² u
Əx²
=
Ju
əx
u(x,0) = x²,
(0, t) = 0,
2
where an =
that models the temperature of a heated wire with
insulated ends. The series solution of the boundary
value problem is
2
0 < x < L, t> 0
ди
əx
0<x<L
u(x, t) Σane (-***) cos
=
n=0
(L,t)=0, t>0
n> 1
NTT
X
Remember that has already been factored out!
L](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F570605f3-3d8e-4452-a971-6aff422a677d%2F44c9ace1-4933-4178-a2e6-16b821320f51%2Fmblx7eo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the Boundary-Initial Value Problem
du
Ət
k
² u
Əx²
=
Ju
əx
u(x,0) = x²,
(0, t) = 0,
2
where an =
that models the temperature of a heated wire with
insulated ends. The series solution of the boundary
value problem is
2
0 < x < L, t> 0
ди
əx
0<x<L
u(x, t) Σane (-***) cos
=
n=0
(L,t)=0, t>0
n> 1
NTT
X
Remember that has already been factored out!
L
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