Differential Equations with Boundary-Value Problems (MindTap Course List)
9th Edition
ISBN: 9781305965799
Author: Dennis G. Zill
Publisher: Cengage Learning
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Chapter 15.1, Problem 1E
In Problems 1–4 use (5) to approximate the solution of Laplace’s equation at the interior points of the given region. Use symmetry when possible.
- 1.
mesh size: h = 1
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15
Give the properties for the equation 3y 2 - 2y + x + 1 = 0.
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Question 17
Find a parameterization for the line segment from (2, –1) to (-6, 4).
a) O (t) = -1– 5t and y (t) = 2 + 8 t, t e [0, 1]
%3D
b) O (t) = -1+ 5t and y (t) = 2 – 8 t, t E [0, 1]
c)
a (t) = 2 + 8 t and y (t) = -1- 5 t, te [0,1]
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d) O a (t) = -2 + 8t and y (t) = 1 – 5 t, t E [0,1]
O a (t) = 2 8t and y (t) = -1+ 5t, te [0, 1]
f) O None of the above.
Review La
Question 18
2. A bug is crawling along the surface defined by x³ + y²z – z³ = 5. The bug is currently at the point
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quickly is its z-coordinate changing?
= 2, then how
(b) If, instead, the bug moved from (2, –2, –1) along the surface by increasing its z-coordinate, and
keeping y = -2, then how quickly is its x-coordinate changing?
Chapter 15 Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
Ch. 15.1 - In Problems 14 use (5) to approximate the solution...Ch. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - (a) In Problem 12 of Exercises 12.6 you solved a...Ch. 15.1 - Use the result in part (a) of Problem 7 to...Ch. 15 - Consider the boundary-value problem...Ch. 15 - Solve Problem 1 using mesh size . Use Gauss-Seidel...
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