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 3E
To determine
The approximate solution of Laplace’s equation at the interior points of the region
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Review
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]
%3D
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
13 Fig.11.26 shows part of the curve y=x²-x+ 2 and a line UV.
(a) Find the coordinates of U and V and the equation of UV.
(b) Hence find the area of the shaded region.
Fig.11.26
(-1,0) 0
y=k³²-x+ 2
(3,0)
Question 17
Find a parameterization for the line segment from (2, –1) to (1,4).
a) Ox (t) = 2 –t and y (t) = -1+5t, tE [0, 1]
b) Ox (t) = 2+t and y(t) = -1 – 5 t, t E [0, 1]
%3D
c) Ox (t) = -2 +t and y (t) =1 – 5 t, t E [0, 1]
d) Ox (t) = -1- 5t and y (t) = 2 + t, t E [0, 1]
e) Ox (t) = -1 +5t and y(t) =2 – t, t E [0, 1]
f) ONone of the above.
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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- 2. $ F dr , where F = (ycos(x) - xy sin(x), xy + xcos(x)) and C is the triangle from (0,0) to (0,4) to (2,0) to (0,0).arrow_forwardQUESTION 3 31 in the diagram befow line seument AB mtersects ine egnt OC and a the size of r ond y (4) (a) DCE (3) (b) 150 20 120 (c) Zx-20 80 (d) Find the values of x, y and z if Ab//Cd. 120arrow_forward1. Compute f, f for f(z) = sin(5z) and path y that is the line segment from 3 – 6i to –6+ 6i. %3Darrow_forward
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