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# Solutions for Chapter 4.8: Solving Systems of Linear DEs by Elimination

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

ISBN: 9780495108368

Solutions for Chapter 4.8: Solving Systems of Linear DEs by Elimination

Solutions for Chapter 4.8
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##### ISBN: 9780495108368

Since 27 problems in chapter 4.8: Solving Systems of Linear DEs by Elimination have been answered, more than 16664 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. Chapter 4.8: Solving Systems of Linear DEs by Elimination includes 27 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Inequality

A statement that compares two quantities using an inequality symbol

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Inverse tangent function

The function y = tan-1 x

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Reciprocal identity

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

• Sequence

See Finite sequence, Infinite sequence.

• Solve by substitution

Method for solving systems of linear equations.

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Vertical component

See Component form of a vector.

• Vertical line

x = a.

• z-axis

Usually the third dimension in Cartesian space.

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