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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

Solutions for Chapter 11.4
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##### ISBN: 9780495108368

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

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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