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Textbooks / Calculus / Fundamentals of Differential Equations 8

# Fundamentals of Differential Equations 8th Edition - Solutions by Chapter ## Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730 Fundamentals of Differential Equations | 8th Edition - Solutions by Chapter

Solutions by Chapter
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##### ISBN: 9780321747730

The full step-by-step solution to problem in Fundamentals of Differential Equations were answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This expansive textbook survival guide covers the following chapters: 67. 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. Since problems from 67 chapters in Fundamentals of Differential Equations have been answered, more than 120707 students have viewed full step-by-step answer.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

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

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Constant term

See Polynomial function

• Continuous function

A function that is continuous on its entire domain

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Position vector of the point (a, b)

The vector <a,b>.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Rectangular coordinate system

See Cartesian coordinate system.

• Root of a number

See Principal nth root.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• y-intercept

A point that lies on both the graph and the y-axis.