Differential Equations with Boundary-Value Problems

9th Edition

ISBN: 9781337632515

Author: Dennis G. Zill

Publisher: Cengage Learning US

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Chapter 14, Problem 2RE

In Problems 1-20 solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary.

2. ∂ 2 u ∂ x 2 = ∂ u ∂ t , 0 < x < 1, t > 0

u(0, t) = 0 u(1, t) = 0, t > 0

u(x, 0) = 50 sin 2πx, 0 < x < 1

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Chapter 14, Problem 1RE

Chapter 14, Problem 3RE

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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.

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Chapter 14 Solutions

Differential Equations with Boundary-Value Problems

Ch. 14.1 - (a) Show that erf(t)=10ted. (b) Use part (a), the...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Use the third and fifth entries in Table 14.1.1 to...

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In Problems 1-20 solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary. 2. ∂ 2 u ∂ x 2 = ∂ u ∂ t , 0 < x < 1, t > 0 u (0, t ) = 0 u (1, t ) = 0, t > 0 u ( x , 0) = 50 sin 2 πx , 0 < x < 1

Solution Summary: The author explains the solution of the boundary value problem under given boundary conditions.

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Chapter 14 Solutions

In Problems 1-20 solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary. 2. ∂ 2 u ∂ x 2 = ∂ u ∂ t , 0 &lt; x &lt; 1, t &gt; 0 u (0, t ) = 0 u (1, t ) = 0, t &gt; 0 u ( x , 0) = 50 sin 2 πx , 0 &lt; x &lt; 1

Solution Summary: The author explains the solution of the boundary value problem under given boundary conditions.

Videos

Want to see the full answer?

Chapter 14 Solutions

In Problems 1-20 solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary. 2. ∂ 2 u ∂ x 2 = ∂ u ∂ t , 0 < x < 1, t > 0 u (0, t ) = 0 u (1, t ) = 0, t > 0 u ( x , 0) = 50 sin 2 πx , 0 < x < 1