 7.2.1E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.2E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.3E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.4E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.5E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.6E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.7E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.8E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.9E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.10E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.11E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.12E: In 1–12, use Definition 1 to determine the Laplace transform of the...
 7.2.13E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.14E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.15E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.16E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.17E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.18E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.19E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.20E: In 13–20, use the Laplace transform table and the linearity of the ...
 7.2.21E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.22E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.23E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.24E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.25E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.26E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.27E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.28E: In 21–28, determine whether f(t) is continuous, piecewise continuou...
 7.2.29E: Which of the following functions are of exponential order?
 7.2.30E: For the transforms F(s) in Table 7.1, what can be said about Table ...
 7.2.31E: Thanks to Euler’s formula (page 168) and the algebraic properties o...
 7.2.32E: Prove that for fixed s > 0, we have
 7.2.33E: Prove that if f is piecewise continuous on [a,b] and g is continuou...
Solutions for Chapter 7.2: Fundamentals of Differential Equations 8th Edition
Full solutions for Fundamentals of Differential Equations  8th Edition
ISBN: 9780321747730
Solutions for Chapter 7.2
Get Full SolutionsChapter 7.2 includes 33 full stepbystep solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This expansive textbook survival guide covers the following chapters and their solutions. Since 33 problems in chapter 7.2 have been answered, more than 61025 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8.

Additive inverse of a real number
The opposite of b , or b

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Arccosine function
See Inverse cosine function.

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Average velocity
The change in position divided by the change in time.

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Compounded annually
See Compounded k times per year.

Explanatory variable
A variable that affects a response variable.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Inverse cosine function
The function y = cos1 x

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Parametric curve
The graph of parametric equations.

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Scalar
A real number.

Vertical component
See Component form of a vector.

Vertical translation
A shift of a graph up or down.