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Solutions for Chapter 7.1: Definition of the Laplace Transform

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

ISBN: 9780495108368

Solutions for Chapter 7.1: Definition of the Laplace Transform

Solutions for Chapter 7.1
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Chapter 7.1: Definition of the Laplace Transform includes 48 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 48 problems in chapter 7.1: Definition of the Laplace Transform have been answered, more than 15942 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
  • Acceleration due to gravity

    g ? 32 ft/sec2 ? 9.8 m/sec

  • Arccotangent function

    See Inverse cotangent function.

  • Augmented matrix

    A matrix that represents a system of equations.

  • Constant of variation

    See Power function.

  • Direction angle of a vector

    The angle that the vector makes with the positive x-axis

  • Divergence

    A sequence or series diverges if it does not converge

  • Elimination method

    A method of solving a system of linear equations

  • Inequality

    A statement that compares two quantities using an inequality symbol

  • Intercept

    Point where a curve crosses the x-, y-, or z-axis in a graph.

  • Inverse composition rule

    The composition of a one-toone function with its inverse results in the identity function.

  • Inverse relation (of the relation R)

    A relation that consists of all ordered pairs b, a for which a, b belongs to R.

  • Limit

    limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

  • nth root of a complex number z

    A complex number v such that vn = z

  • Odd function

    A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

  • Paraboloid of revolution

    A surface generated by rotating a parabola about its line of symmetry.

  • Position vector of the point (a, b)

    The vector <a,b>.

  • Rational expression

    An expression that can be written as a ratio of two polynomials.

  • Real number

    Any number that can be written as a decimal.

  • Slope

    Ratio change in y/change in x

  • Sum of a finite geometric series

    Sn = a111 - r n 2 1 - r

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