 9.1.1E: In 1–6, express the given system of differential equations in matri...
 9.1.2E: In 1–6, express the given system of differential equations in matri...
 9.1.3E: In 1–6, express the given system of differential equations in matri...
 9.1.4E: In 1–6, express the given system of differential equations in matri...
 9.1.5E: In 1–6, express the given system of differential equations in matri...
 9.1.6E: In 1–6, express the given system of differential equations in matri...
 9.1.7E: In 7–10, express the given higherorder differential equation as a ...
 9.1.8E: In 7–10, express the given higherorder differential equation as a ...
 9.1.9E: In 7–10, express the given higherorder differential equation as a ...
 9.1.10E: In 7–10, express the given higherorder differential equation as a ...
 9.1.11E: In 11–13, express the given system of higherorder differential equa...
 9.1.12E: In 11–13, express the given system of higherorder differential equa...
 9.1.13E: In 11–13, express the given system of higherorder differential equ...
Solutions for Chapter 9.1: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 9.1
Get Full SolutionsSince 13 problems in chapter 9.1 have been answered, more than 36939 students have viewed full stepbystep solutions from this chapter. 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. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 9.1 includes 13 full stepbystep solutions.

Arctangent function
See Inverse tangent function.

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Divergence
A sequence or series diverges if it does not converge

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Geometric series
A series whose terms form a geometric sequence.

Horizontal line
y = b.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Index
See Radical.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Interquartile range
The difference between the third quartile and the first quartile.

Logarithmic regression
See Natural logarithmic regression

Octants
The eight regions of space determined by the coordinate planes.

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Parametric curve
The graph of parametric equations.

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

Term of a polynomial (function)
An expression of the form anxn in a polynomial (function).

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.