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# Solutions for Chapter 2.2: Separable Variables

## Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 2.2: Separable Variables

Solutions for Chapter 2.2
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##### ISBN: 9780495108368

Chapter 2.2: Separable Variables includes 52 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 52 problems in chapter 2.2: Separable Variables have been answered, more than 4878 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368.

Key Calculus Terms and definitions covered in this textbook
• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Factored form

The left side of u(v + w) = uv + uw.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Monomial function

A polynomial with exactly one term.

• Nonsingular matrix

A square matrix with nonzero determinant

• Outcomes

The various possible results of an experiment.

• Pythagorean identities

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

• Quotient polynomial

See Division algorithm for polynomials.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Real part of a complex number

See Complex number.

• Reciprocal function

The function ƒ(x) = 1x

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Tangent

The function y = tan x

• 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.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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