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# Solutions for Chapter 9.7: Fundamentals of Differential Equations 8th Edition

## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Solutions for Chapter 9.7

Solutions for Chapter 9.7
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##### ISBN: 9780321747730

Chapter 9.7 includes 35 full step-by-step solutions. Since 35 problems in chapter 9.7 have been answered, more than 56868 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their 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.

Key Calculus Terms and definitions covered in this textbook
• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Future value of an annuity

The net amount of money returned from an annuity.

• Horizontal component

See Component form of a vector.

• Index

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Line of travel

The path along which an object travels

• Main diagonal

The diagonal from the top left to the bottom right of a square matrix

• Modulus

See Absolute value of a complex number.

• Partial fraction decomposition

See Partial fractions.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Slope

Ratio change in y/change in x

• Spiral of Archimedes

The graph of the polar curve.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

• y-axis

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

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