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Solutions for Chapter 1.2: Initial-Value Problems

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

ISBN: 9780495108368

Solutions for Chapter 1.2: Initial-Value Problems

Solutions for Chapter 1.2
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Chapter 1.2: Initial-Value Problems includes 45 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. Since 45 problems in chapter 1.2: Initial-Value Problems have been answered, more than 15541 students have viewed full step-by-step solutions from this chapter. 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
  • Additive inverse of a real number

    The opposite of b , or -b

  • Causation

    A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

  • Components of a vector

    See Component form of a vector.

  • Confounding variable

    A third variable that affects either of two variables being studied, making inferences about causation unreliable

  • Exponential growth function

    Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

  • Extracting square roots

    A method for solving equations in the form x 2 = k.

  • Hyperboloid of revolution

    A surface generated by rotating a hyperbola about its transverse axis, p. 607.

  • Initial value of a function

    ƒ 0.

  • Inverse cotangent function

    The function y = cot-1 x

  • Linear regression line

    The line for which the sum of the squares of the residuals is the smallest possible

  • Midpoint (on a number line)

    For the line segment with endpoints a and b, a + b2

  • Order of magnitude (of n)

    log n.

  • Parametric curve

    The graph of parametric equations.

  • Permutations of n objects taken r at a time

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

  • Pie chart

    See Circle graph.

  • Response variable

    A variable that is affected by an explanatory variable.

  • Rigid transformation

    A transformation that leaves the basic shape of a graph unchanged.

  • Solve a triangle

    To find one or more unknown sides or angles of a triangle

  • Variance

    The square of the standard deviation.

  • Vertical translation

    A shift of a graph up or down.

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