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# Solutions for Chapter 13: BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS

## Full solutions for Differential Equations with Boundary-Value Problems | 7th Edition

ISBN: 9780495108368

Solutions for Chapter 13: BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS

Solutions for Chapter 13
4 5 0 291 Reviews
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##### ISBN: 9780495108368

Chapter 13: BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS includes 15 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Since 15 problems in chapter 13: BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS have been answered, more than 16840 students have viewed full step-by-step solutions from this chapter. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368.

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

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

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Commutative properties

a + b = b + a ab = ba

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Dependent variable

Variable representing the range value of a function (usually y)

• Determinant

A number that is associated with a square matrix

• Index

• Inferential statistics

Using the science of statistics to make inferences about the parameters in a population from a sample.

• 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

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Permutation

An arrangement of elements of a set, in which order is important.

• Power regression

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

• Quotient polynomial

See Division algorithm for polynomials.

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Reference triangle

For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the x-axis, and a perpendicular dropped from a point on the terminal side to the x-axis. The angle in a reference triangle at the origin is the reference angle

• Reflexive property of equality

a = a

• Slope

Ratio change in y/change in x

• Square matrix

A matrix whose number of rows equals the number of columns.

• Third quartile

See Quartile.

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