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Solutions for Chapter 11.4: Sturm-Liouville Problem

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

ISBN: 9780495108368

Solutions for Chapter 11.4: Sturm-Liouville Problem

This textbook survival guide was created for the textbook: Differential Equations with Boundary-Value Problems, edition: 7. 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 11.4: Sturm-Liouville Problem includes 15 full step-by-step solutions. Since 15 problems in chapter 11.4: Sturm-Liouville Problem have been answered, more than 15958 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Combination

    An arrangement of elements of a set, in which order is not important

  • Common ratio

    See Geometric sequence.

  • Compounded monthly

    See Compounded k times per year.

  • Conditional probability

    The probability of an event A given that an event B has already occurred

  • Convergence of a series

    A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

  • De Moivre’s theorem

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

  • Degree of a polynomial (function)

    The largest exponent on the variable in any of the terms of the polynomial (function)

  • Directed distance

    See Polar coordinates.

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Five-number summary

    The minimum, first quartile, median, third quartile, and maximum of a data set.

  • Heron’s formula

    The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

  • Identity function

    The function ƒ(x) = x.

  • Inverse of a matrix

    The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

  • Inverse reflection principle

    If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

  • Logarithm

    An expression of the form logb x (see Logarithmic function)

  • Logarithmic form

    An equation written with logarithms instead of exponents

  • Measure of spread

    A measure that tells how widely distributed data are.

  • Parallel lines

    Two lines that are both vertical or have equal slopes.

  • Slant line

    A line that is neither horizontal nor vertical

  • Upper bound for ƒ

    Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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