- 9.3.1: Find the analytic solution of the initial-value problem in Example ...
- 9.3.2: Write a computer program to implement the AdamsBashforth-Moulton me...
- 9.3.3: In 3 and 4 use the Adams-Bashforth-Moulton method to approximate y(...
- 9.3.4: In 3 and 4 use the Adams-Bashforth-Moulton method to approximate y(...
- 9.3.5: In 58 use the Adams-Bashforth-Moulton method to approximate y(1.0),...
- 9.3.6: In 58 use the Adams-Bashforth-Moulton method to approximate y(1.0),...
- 9.3.7: In 58 use the Adams-Bashforth-Moulton method to approximate y(1.0),...
- 9.3.8: In 58 use the Adams-Bashforth-Moulton method to approximate y(1.0),...
Solutions for Chapter 9.3: Multistep Methods
Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.
Domain of a function
The set of all input values for a function
A procedure for fitting an exponential function to a set of data.
A visible representation of a numerical or algebraic model.
An equation that is always true throughout its domain.
Events A and B such that P(A and B) = P(A)P(B)
Inverse secant function
The function y = sec-1 x
A graph of data in which consecutive data points are connected by line segments
A boxplot with the outliers removed.
Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002
Two lines that are both vertical or have equal slopes.
Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,
A procedure for fitting a quartic function to a set of data.
Right-hand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.
The function y = sec x.
Semiperimeter of a triangle
One-half of the sum of the lengths of the sides of a triangle.
Symmetric difference quotient of ƒ at a
ƒ(x + h) - ƒ(x - h) 2h
A procedure used to divide a polynomial by a linear factor, 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).