 1.1.1E: In 1–12, a differential equation is given along with the field or p...
 1.1.2E: In 1–12, a differential equation is given along with the field or p...
 1.1.3E: In 1–12, a differential equation is given along with the field or p...
 1.1.4E: In 1–12, a differential equation is given along with the field or p...
 1.1.5E: In 1–12, a differential equation is given along with the field or p...
 1.1.6E: In 1–12, a differential equation is given along with the field or p...
 1.1.7E: In 1–12, a differential equation is given along with the field or p...
 1.1.8E: In 1–12, a differential equation is given along with the field or p...
 1.1.9E: In 1–12, a differential equation is given along with the field or p...
 1.1.10E: In 1–12, a differential equation is given along with the field or p...
 1.1.11E: In 1–12, a differential equation is given along with the field or p...
 1.1.12E: In 1–12, a differential equation is given along with the field or p...
 1.1.13E: In 13–16, write a differential equation that fits the physical desc...
 1.1.14E: In 13–16, write a differential equation that fits the physical desc...
 1.1.15E: In 13–16, write a differential equation that fits the physical desc...
 1.1.16E: In 13–16, write a differential equation that fits the physical desc...
 1.1.17E: In 13–16, write a differential equation that fits the physical desc...
Solutions for Chapter 1.1: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 1.1
Get Full SolutionsThis textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 1.1 includes 17 full stepbystep solutions. Since 17 problems in chapter 1.1 have been answered, more than 122133 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

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

First quartile
See Quartile.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Length of an arrow
See Magnitude of an arrow.

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Quartic function
A degree 4 polynomial function.

Singular matrix
A square matrix with zero determinant

Solve an equation or inequality
To find all solutions of the equation or inequality

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Third quartile
See Quartile.