Solve the Boundary-Initial Value Problem 22 и ди k 0 < x 0 მ2 It ди - (0, t) = 0, მთ ди ax (L,t) = 0, t> 0 u(x,0) = x², 0 < x < L that models the temperature of a heated wire with insulated ends. The series solution of the boundary value problem is u(z,t) - ΙΣ = L n=0 (-) пп ane COS L (777x) where an = n≥ 1 Remember that ½ has already been factored out!
Solve the Boundary-Initial Value Problem 22 и ди k 0 < x 0 მ2 It ди - (0, t) = 0, მთ ди ax (L,t) = 0, t> 0 u(x,0) = x², 0 < x < L that models the temperature of a heated wire with insulated ends. The series solution of the boundary value problem is u(z,t) - ΙΣ = L n=0 (-) пп ane COS L (777x) where an = n≥ 1 Remember that ½ has already been factored out!
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Transcribed Image Text:Solve the Boundary-Initial Value Problem
22 и
ди
k
0 < x <L, t>0
მ2
It
ди
- (0, t) = 0,
მთ
ди
ax
(L,t) = 0, t> 0
u(x,0) = x², 0 < x < L
that models the temperature of a heated wire with insulated ends. The series solution of the boundary value problem is
u(z,t) - ΙΣ
=
L
n=0
(-)
пп
ane
COS
L
(777x)
where an
=
n≥ 1
Remember that ½ has already been factored out!
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