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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 15513 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
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Average velocity

The change in position divided by the change in time.

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Complex conjugates

Complex numbers a + bi and a - bi

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Divergence

A sequence or series diverges if it does not converge

• Exponential form

An equation written with exponents instead of logarithms.

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Outliers

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

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Reduced row echelon form

A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Solution set of an inequality

The set of all solutions of an inequality

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Unit circle

A circle with radius 1 centered at the origin.

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