Differential Equations with Boundary-Value Problems 7th Edition - Solutions by Chapter

An equation that relates variable quantities associated with phenomena being studied

Measure of the clockwise angle that the line of travel makes with due north

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

An angle whose vertex is the center of a circle

A sample that sacrifices randomness for convenience

The gathering and processing of numerical information

See Polar coordinates.

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

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

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

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

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

The number of degrees or radians in an angle

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

tan ?= sin ?cos ?and cot ?= cos ? sin ?

r = ke 1 e cos ? or r = ke 1 e sin ? ,

A representative arrow with its initial point at the origin

See Conversion factor.

The x-value of the right side of the viewing window,.