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# Solutions for Chapter 5.4: Fundamentals of Differential Equations 8th Edition

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

ISBN: 9780321747730

Solutions for Chapter 5.4

Solutions for Chapter 5.4
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##### ISBN: 9780321747730

Chapter 5.4 includes 36 full step-by-step solutions. Since 36 problems in chapter 5.4 have been answered, more than 55368 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• 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

• Combination

An arrangement of elements of a set, in which order is not important

• Constant term

See Polynomial function

• Cubic

A degree 3 polynomial function

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Linear system

A system of linear equations

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Spiral of Archimedes

The graph of the polar curve.

• Variable

A letter that represents an unspecified number.

• Variation

See Power function.

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