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# Solutions for Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS

## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052

Solutions for Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS

Solutions for Chapter 9.4
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##### ISBN: 9781111827052

This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 12 problems in chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS have been answered, more than 46224 students have viewed full step-by-step solutions from this chapter. Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS includes 12 full step-by-step solutions. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Equation

A statement of equality between two expressions.

• Gaussian elimination

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

• Identity

An equation that is always true throughout its domain.

• Intercepted arc

Arc of a circle between the initial side and terminal side of a central angle.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Parameter interval

See Parametric equations.

• 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.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Range of a function

The set of all output values corresponding to elements in the domain.

• xz-plane

The points x, 0, z in Cartesian space.

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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