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Solutions for Chapter 7.5: The Dirac Delta Function

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

ISBN: 9780495108368

Solutions for Chapter 7.5: The Dirac Delta Function

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. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.5: The Dirac Delta Function includes 15 full step-by-step solutions. Since 15 problems in chapter 7.5: The Dirac Delta Function have been answered, more than 16651 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Average rate of change of ƒ over [a, b]

    The number ƒ(b) - ƒ(a) b - a, provided a ? b.

  • Boundary

    The set of points on the “edge” of a region

  • Conversion factor

    A ratio equal to 1, used for unit conversion

  • Dependent variable

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

  • Elimination method

    A method of solving a system of linear equations

  • Event

    A subset of a sample space.

  • Leading term

    See Polynomial function in x.

  • Least-squares line

    See Linear regression line.

  • Matrix, m x n

    A rectangular array of m rows and n columns of real numbers

  • Piecewise-defined function

    A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

  • Polynomial in x

    An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Remainder theorem

    If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

  • Variation

    See Power function.

  • Vector

    An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

  • Vertices of a hyperbola

    The points where a hyperbola intersects the line containing its foci.

  • Weighted mean

    A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

  • Zero matrix

    A matrix consisting entirely of zeros.

  • Zero vector

    The vector <0,0> or <0,0,0>.

  • Zoom out

    A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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