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# Solutions for Chapter 5.3: Fundamentals of Differential Equations 8th Edition

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

ISBN: 9780321747730

Solutions for Chapter 5.3

Solutions for Chapter 5.3
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##### ISBN: 9780321747730

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. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.3 includes 19 full step-by-step solutions. Since 19 problems in chapter 5.3 have been answered, more than 61011 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Addition property of equality

If u = v and w = z , then u + w = v + z

• Arcsecant function

See Inverse secant function.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Convenience sample

A sample that sacrifices randomness for convenience

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Exponential form

An equation written with exponents instead of logarithms.

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Instantaneous rate of change

See Derivative at x = a.

• Interval

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

• Inverse cotangent function

The function y = cot-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Linear system

A system of linear equations

• Logarithm

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

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Positive angle

Angle generated by a counterclockwise rotation.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• xy-plane

The points x, y, 0 in Cartesian space.

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