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Solutions for Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

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

ISBN: 9781111827052

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

Solutions for Chapter 9.4: HIGHER-ORDER EQUATIONS AND SYSTEMS

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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