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Solutions for Chapter 1.1: Fundamentals of Differential Equations 8th Edition

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Full solutions for Fundamentals of Differential Equations | 8th Edition

ISBN: 9780321747730

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Solutions for Chapter 1.1

Solutions for Chapter 1.1
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Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Chapter 1.1 includes 17 full step-by-step solutions. Since 17 problems in chapter 1.1 have been answered, more than 122133 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

Key Calculus Terms and definitions covered in this textbook
  • Absolute value of a real number

    Denoted by |a|, represents the number a or the positive number -a if a < 0.

  • Algebraic expression

    A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

  • Arithmetic sequence

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

  • De Moivre’s theorem

    (r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

  • Equal complex numbers

    Complex numbers whose real parts are equal and whose imaginary parts are equal.

  • Factored form

    The left side of u(v + w) = uv + uw.

  • First quartile

    See Quartile.

  • Lemniscate

    A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

  • Length of an arrow

    See Magnitude of an arrow.

  • Major axis

    The line segment through the foci of an ellipse with endpoints on the ellipse

  • Median (of a data set)

    The middle number (or the mean of the two middle numbers) if the data are listed in order.

  • Odd function

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

  • 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.

  • Power rule of logarithms

    logb Rc = c logb R, R 7 0.

  • Probability distribution

    The collection of probabilities of outcomes in a sample space assigned by a probability function.

  • Quartic function

    A degree 4 polynomial function.

  • Singular matrix

    A square matrix with zero determinant

  • Solve an equation or inequality

    To find all solutions of the equation or inequality

  • Tangent line of ƒ at x = a

    The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

  • Third quartile

    See Quartile.