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Solutions for Chapter 5.1: Linear Models: Initial-Value Problems

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

ISBN: 9780495108368

Solutions for Chapter 5.1: Linear Models: Initial-Value Problems

Solutions for Chapter 5.1
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Since 58 problems in chapter 5.1: Linear Models: Initial-Value Problems have been answered, more than 15540 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. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Linear Models: Initial-Value Problems includes 58 full step-by-step solutions. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7.

Key Calculus Terms and definitions covered in this textbook
  • Arctangent function

    See Inverse tangent function.

  • Commutative properties

    a + b = b + a ab = ba

  • Component form of a vector

    If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

  • Direct variation

    See Power function.

  • Directrix of a parabola, ellipse, or hyperbola

    A line used to determine the conic

  • Discriminant

    For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

  • Division

    a b = aa 1 b b, b Z 0

  • Implied domain

    The domain of a function’s algebraic expression.

  • Initial value of a function

    ƒ 0.

  • Linear regression equation

    Equation of a linear regression line

  • Local extremum

    A local maximum or a local minimum

  • Local maximum

    A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

  • nth root of unity

    A complex number v such that vn = 1

  • Parametrization

    A set of parametric equations for a curve.

  • Probability of an event in a finite sample space of equally likely outcomes

    The number of outcomes in the event divided by the number of outcomes in the sample space.

  • Root of an equation

    A solution.

  • Sinusoid

    A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

  • Sinusoidal regression

    A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

  • Sum of functions

    (ƒ + g)(x) = ƒ(x) + g(x)

  • Xscl

    The scale of the tick marks on the x-axis in a viewing window.

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