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Solutions for Chapter 2.5: Solutions by Substitutions

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

ISBN: 9780495108368

Solutions for Chapter 2.5: Solutions by Substitutions

Solutions for Chapter 2.5
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Textbook: Differential Equations with Boundary-Value Problems
Edition: 7
Author: Dennis G. Zill, Michael R. Cullen
ISBN: 9780495108368

Chapter 2.5: Solutions by Substitutions includes 38 full step-by-step solutions. Differential Equations with Boundary-Value Problems was written by and is associated to the ISBN: 9780495108368. This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 38 problems in chapter 2.5: Solutions by Substitutions have been answered, more than 15427 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Categorical variable

    In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

  • Conjugate axis of a hyperbola

    The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

  • Coordinate plane

    See Cartesian coordinate system.

  • Determinant

    A number that is associated with a square matrix

  • 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

  • Equivalent equations (inequalities)

    Equations (inequalities) that have the same solutions.

  • First quartile

    See Quartile.

  • Gaussian elimination

    A method of solving a system of n linear equations in n unknowns.

  • Hyperbola

    A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

  • Infinite discontinuity at x = a

    limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

  • Main diagonal

    The diagonal from the top left to the bottom right of a square matrix

  • Minor axis

    The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

  • Multiplication property of equality

    If u = v and w = z, then uw = vz

  • Multiplicative inverse of a complex number

    The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

  • Perpendicular lines

    Two lines that are at right angles to each other

  • PH

    The measure of acidity

  • Polynomial function

    A function in which ƒ(x)is a polynomial in x, p. 158.

  • Polynomial interpolation

    The process of fitting a polynomial of degree n to (n + 1) points.

  • Quotient polynomial

    See Division algorithm for polynomials.

  • Rose curve

    A graph of a polar equation or r = a cos nu.

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