A formal solution of the telegraph problem if ∂ 2 u ∂ t 2 + ∂ u ∂ t + u = α 2 ∂ 2 u ∂ x 2 , 0 < x < L , t > 0 , u ( 0 , t ) = u ( L , t ) = 0 , t > 0 , u ( x , 0 ) = f ( x ) , 0 < x < L , ∂ u ∂ t ( x , 0 ) = 0 , 0 < x < L .

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Answer 1

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Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Answer 2

Question

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Answer 3

Question

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Answer 4

Question

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Answer 5

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

Answer 6

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

Answer 7

Chapter 10.6, Problem 11E

To determine

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 10.2 - In Problems 1-8, determine all the solutions, if...Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - In Problems 1-8, determine all the solutions, if...Ch. 10.2 - Prob. 6E Ch. 10.2 - In Problems 1-8, determine all the solutions, if...Ch. 10.2 - In Problems 1-8, determine all the solutions, if...Ch. 10.2 - In Problems 9-14, find the values of eigenvalues...Ch. 10.2 - In Problems 9-14, find the values of eigenvalues...

A formal solution of the telegraph problem if ∂ 2 u ∂ t 2 + ∂ u ∂ t + u = α 2 ∂ 2 u ∂ x 2 , 0 < x < L , t > 0 , u ( 0 , t ) = u ( L , t ) = 0 , t > 0 , u ( x , 0 ) = f ( x ) , 0 < x < L , ∂ u ∂ t ( x , 0 ) = 0 , 0 < x < L .

Solution Summary: The author explains that the formal solution of the telegraph problem is u(x,t)=displaystyle undersetn=1

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Chapter 10 Solutions

A formal solution of the telegraph problem if ∂ 2 u ∂ t 2 + ∂ u ∂ t + u = α 2 ∂ 2 u ∂ x 2 , 0 &lt; x &lt; L , t &gt; 0 , u ( 0 , t ) = u ( L , t ) = 0 , t &gt; 0 , u ( x , 0 ) = f ( x ) , 0 &lt; x &lt; L , ∂ u ∂ t ( x , 0 ) = 0 , 0 &lt; x &lt; L .

Solution Summary: The author explains that the formal solution of the telegraph problem is u(x,t)=displaystyle undersetn=1

A formal solution of the telegraph problem if ∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.

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Chapter 10 Solutions

A formal solution of the telegraph problem if ∂ 2 u ∂ t 2 + ∂ u ∂ t + u = α 2 ∂ 2 u ∂ x 2 , 0 < x < L , t > 0 , u ( 0 , t ) = u ( L , t ) = 0 , t > 0 , u ( x , 0 ) = f ( x ) , 0 < x < L , ∂ u ∂ t ( x , 0 ) = 0 , 0 < x < L .

A formal solution of the telegraph problem if

∂2u∂t2+∂u∂t+u=α2∂2u∂x2, 0<x<L, t>0,u(0,t)=u(L,t)=0, t>0,u(x,0)=f(x), 0<x<L,∂u∂t(x,0)=0, 0<x<L.