 8.5.1E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.2E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.3E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.4E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.5E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.6E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.7E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.8E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.9E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.10E: In 1–10, use the substitution y = x r to find a general solution to...
 8.5.11E: In 11 and 12, use a substitution of the form Y = (xc) r to find a ...
 8.5.12E: In 11 and 12, use a substitution of the form Y = (xc) r to find a ...
 8.5.13E: In 13 and 14, use variation of parameters to find a general solutio...
 8.5.14E: In 13 and 14, use variation of parameters to find a general solutio...
 8.5.15E: In 15–17, solve the given initial value problem.
 8.5.16E: In 15–17, solve the given initial value problem.
 8.5.17E: In 15–17, solve the given initial value problem.
 8.5.18E: Suppose r0 is a repeated root of the auxiliary equation ar2 + br + ...
 8.5.19E: Let (a) Show that (b)Using an extension of the argument given in th...
Solutions for Chapter 8.5: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 8.5
Get Full SolutionsChapter 8.5 includes 19 full stepbystep solutions. Since 19 problems in chapter 8.5 have been answered, more than 56668 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Common logarithm
A logarithm with base 10.

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

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

Constant
A letter or symbol that stands for a specific number,

Constant of variation
See Power function.

Convergence of a sequence
A sequence {an} converges to a if limn: q an = a

Course
See Bearing.

Distance (on a number line)
The distance between real numbers a and b, or a  b

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Fundamental
Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

Grapher or graphing utility
Graphing calculator or a computer with graphing software.

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Logarithmic form
An equation written with logarithms instead of exponents

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Rectangular coordinate system
See Cartesian coordinate system.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Vertex of a cone
See Right circular cone.