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# Solutions for Chapter 6.5: First-Order Linear Differential Equations ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 6.5: First-Order Linear Differential Equations

Solutions for Chapter 6.5
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##### ISBN: 9780618606245

Chapter 6.5: First-Order Linear Differential Equations includes 66 full step-by-step solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Since 66 problems in chapter 6.5: First-Order Linear Differential Equations have been answered, more than 45490 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Distributive property

a(b + c) = ab + ac and related properties

• Empty set

A set with no elements

• Equivalent vectors

Vectors with the same magnitude and direction.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Instantaneous rate of change

See Derivative at x = a.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Multiplicative inverse of a complex number

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

• Parametrization

A set of parametric equations for a curve.

• Positive angle

Angle generated by a counterclockwise rotation.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Real number

Any number that can be written as a decimal.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Sine

The function y = sin x.

• Solve a system

To find all solutions of a system.

• Translation

See Horizontal translation, Vertical translation.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Xscl

The scale of the tick marks on the x-axis in a viewing window.