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Solutions for Chapter 1.2: INITIAL-VALUE PROBLEMS

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 1.2: INITIAL-VALUE PROBLEMS

Solutions for Chapter 1.2
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Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. Chapter 1.2: INITIAL-VALUE PROBLEMS includes 51 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: A First Course in Differential Equations with Modeling Applications, edition: 10. Since 51 problems in chapter 1.2: INITIAL-VALUE PROBLEMS have been answered, more than 49902 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Acceleration due to gravity

    g ? 32 ft/sec2 ? 9.8 m/sec

  • Average velocity

    The change in position divided by the change in time.

  • Base

    See Exponential function, Logarithmic function, nth power of a.

  • Combinations of n objects taken r at a time

    There are nCr = n! r!1n - r2! such combinations,

  • Constraints

    See Linear programming problem.

  • Decreasing on an interval

    A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

  • Demand curve

    p = g(x), where x represents demand and p represents price

  • Frequency distribution

    See Frequency table.

  • Histogram

    A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

  • Identity function

    The function ƒ(x) = x.

  • Inverse cotangent function

    The function y = cot-1 x

  • Inverse relation (of the relation R)

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

  • Left-hand limit of f at x a

    The limit of ƒ as x approaches a from the left.

  • Linear equation in x

    An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

  • Logarithmic function with base b

    The inverse of the exponential function y = bx, denoted by y = logb x

  • Major axis

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

  • Permutations of n objects taken r at a time

    There are nPr = n!1n - r2! such permutations

  • Rational zeros theorem

    A procedure for finding the possible rational zeros of a polynomial.

  • Triangular number

    A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

  • xz-plane

    The points x, 0, z in Cartesian space.

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