- 11-126.96.36.199: The boundary-value problem y = 4(y x), 0 x 1, y(0) = 0, y(1) = 2 ha...
- 11-188.8.131.52: The boundary-value problem y = y + 2y + cos x, 0 x 2 , y(0) = 0.3, ...
- 11-184.108.40.206: Use the Linear Finite-Difference Algorithm to approximate the solut...
- 11-220.127.116.11: Although q(x) < 0 in the following boundary-value problems, unique ...
- 11-18.104.22.168: Use the Linear Finite-Difference Algorithm to approximate the solut...
- 11-22.214.171.124: Repeat Exercise 3(a) and (b) using the extrapolation discussed in E...
- 11-126.96.36.199: The lead example of this chapter concerned the deflection of a beam...
- 11-188.8.131.52: The deflection of a uniformly loaded, long rectangular plate under ...
- 11-184.108.40.206: Prove Theorem 11.3. [Hint: To use Theorem 6.29, first show that h 2...
- 11-220.127.116.11: Show that if y C6[a, b] and if w0, w1,... ,wN+1 satisfy Eq. (11.18)...
Solutions for Chapter 11-3: Finite-Difference Methods for Linear Problems
Full solutions for Numerical Analysis (Available Titles CengageNOW) | 8th Edition
See Polynomial function
The function y = csc x
Directed line segment
A method of solving a system of linear equations
First-degree equation in x , y, and z
An equation that can be written in the form.
Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)
Linear regression equation
Equation of a linear regression line
A polynomial with exactly one term.
Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.
A procedure for fitting a quartic function to a set of data.
Solve a system
To find all solutions of a system.
Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis
A visualization of the Multiplication Principle of Probability.
Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.
x = a.
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).
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