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# Solutions for Chapter 2.3: Fundamentals of Differential Equations 8th Edition ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Solutions for Chapter 2.3

Solutions for Chapter 2.3
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##### ISBN: 9780321747730

Since 39 problems in chapter 2.3 have been answered, more than 119779 students have viewed full step-by-step solutions from this chapter. Chapter 2.3 includes 39 full step-by-step solutions. 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
• Anchor

See Mathematical induction.

• Arccosine function

See Inverse cosine function.

• Arctangent function

See Inverse tangent function.

• Chord of a conic

A line segment with endpoints on the conic

• Closed interval

An interval that includes its endpoints

• Constant term

See Polynomial function

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Inequality

A statement that compares two quantities using an inequality symbol

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Limit to growth

See Logistic growth function.

• Quotient rule of logarithms

logb a R S b = logb R - logb S, R > 0, S > 0

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Reciprocal function

The function ƒ(x) = 1x

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Remainder polynomial

See Division algorithm for polynomials.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Spiral of Archimedes

The graph of the polar curve.