 4.4.1E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.2E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.3E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.4E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.5E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.6E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.7E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.8E: In 1–8, decide whether or not the method of undetermined coefficien...
 4.4.9E: In 9–26, find a particular solution to the differential equation.
 4.4.10E: In 9–26, find a particular solution to the differential equation.
 4.4.11E: In 9–26, find a particular solution to the differential equation.
 4.4.12E: In 9–26, find a particular solution to the differential equation.
 4.4.13E: In 9–26, find a particular solution to the differential equation.
 4.4.14E: In 9–26, find a particular solution to the differential equation.
 4.4.15E: In 9–26, find a particular solution to the differential equation.
 4.4.16E: In 9–26, find a particular solution to the differential equation.
 4.4.17E: In 9–26, find a particular solution to the differential equation.
 4.4.18E: In 9–26, find a particular solution to the differential equation.
 4.4.19E: In 9–26, find a particular solution to the differential equation.
 4.4.20E: In 9–26, find a particular solution to the differential equation.
 4.4.21E: In 9–26, find a particular solution to the differential equation.
 4.4.22E: In 9–26, find a particular solution to the differential equation.
 4.4.23E: In 9–26, find a particular solution to the differential equation.
 4.4.24E: In 9–26, find a particular solution to the differential equation.
 4.4.25E: In 9–26, find a particular solution to the differential equation.
 4.4.26E: In 9–26, find a particular solution to the differential equation.
 4.4.27E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.28E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.29E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.30E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.31E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.32E: In 27–32, determine the form of a particular solution for the diffe...
 4.4.33E: In 33–36, use the method of undetermined coefficients to find a par...
 4.4.34E: In 33–36, use the method of undetermined coefficients to find a par...
 4.4.35E: In 33–36, use the method of undetermined coefficients to find a par...
 4.4.36E: In 33–36, use the method of undetermined coefficients to find a par...
Solutions for Chapter 4.4: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 4.4
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.4 includes 36 full stepbystep solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Since 36 problems in chapter 4.4 have been answered, more than 61858 students have viewed full stepbystep solutions from this chapter.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Equivalent vectors
Vectors with the same magnitude and direction.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Horizontal component
See Component form of a vector.

kth term of a sequence
The kth expression in the sequence

Linear system
A system of linear equations

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Row operations
See Elementary row operations.

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

Vertex of an angle
See Angle.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.