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# Solutions for Chapter 1.3: Fundamentals of Differential Equations 8th Edition

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

ISBN: 9780321747730

Solutions for Chapter 1.3

Solutions for Chapter 1.3
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##### ISBN: 9780321747730

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. Since 20 problems in chapter 1.3 have been answered, more than 120334 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 1.3 includes 20 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Arctangent function

See Inverse tangent function.

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Components of a vector

See Component form of a vector.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Limit to growth

See Logistic growth function.

• Measure of an angle

The number of degrees or radians in an angle

• Modulus

See Absolute value of a complex number.

• Outliers

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

• 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)

• Polar form of a complex number

See Trigonometric form of a complex number.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Relation

A set of ordered pairs of real numbers.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.