EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 45, Problem 21A
To determine
To solve the equation using the multiplication principle of equality.
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10) Which of the following is the general solution of the homogeneous second-order differential
equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants.
A) y = C₁ecos(61) + C₂e*sin(61) + C
B) y = et (sin(4t) + cos(6t)) + C
C) y = C₁esin(6) + C₂e+ cos(6t) + C
D) y = C₁esin(6) + C₂e+cos(6)
E) y=e(C₁sin(61) + C₂cos(61))
3) Consider the initial value problem
'
y' + 8y = 0, y(0) = -4, y (0) = 16
What is the solution of this initial value problem?
A) y = -4t - 2e8t
D) y = -4 + 2e-8t
B) y = -2 + 2e8t
C) y = -2 -2e-8t
E) y = -4+ 2e8t
F) y = -2t-2e-8t
6) Consider the initial value problem
y + cos
πι
+ e²бty = 0, y(-1) = 0, y' (-1) = 0
Which of these statements are true? Select all that apply.
A) There exists a nonzero real number r such that y(t) = ert is a solution of the initial value
problem.
B) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers
t.
C) The constant function y(t) = 0 is the unique solution of this initial value problem on the
interval (-∞, ∞).
D) This initial value problem has only one solution on the interval (-7, 5).
E) There must exist a function y = q(t) that satisfies this initial value problem on the interval
(-7,∞).
Chapter 45 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 45 - Solve A34=218 using the addition principle of...Ch. 45 - Solve the equation 4x5x+7x=54 for the unknown...Ch. 45 - Write 0.0000275 in scientific notation.Ch. 45 - Prob. 4ACh. 45 - Prob. 5ACh. 45 - Prob. 6ACh. 45 - Prob. 7ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 9ACh. 45 - Prob. 10A
Ch. 45 - Prob. 11ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 13ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 15ACh. 45 - Prob. 16ACh. 45 - Prob. 17ACh. 45 - Prob. 18ACh. 45 - Prob. 19ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 21ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 23ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 25ACh. 45 - Prob. 26ACh. 45 - Prob. 27ACh. 45 - Solve each of the following equations using the...Ch. 45 - Prob. 29ACh. 45 - Prob. 30ACh. 45 - Prob. 31ACh. 45 - Write an equation for each of the following...Ch. 45 - Prob. 33ACh. 45 - The width of a rectangular sheet of metal shown is...Ch. 45 - Prob. 35ACh. 45 - For each of the following problems, substitute the...Ch. 45 - Prob. 37ACh. 45 - For each of the following problems, substitute the...Ch. 45 - Prob. 39ACh. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Write an equation for each of the following...Ch. 45 - Write an equation for each of the following...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - olve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Solve each of the following equations using the...Ch. 45 - Write an equation for each of the following...Ch. 45 - Write an equation for each of the following...Ch. 45 - Prob. 91ACh. 45 - Prob. 92ACh. 45 - Solve each of the following equations using either...Ch. 45 - Prob. 94ACh. 45 - Prob. 95ACh. 45 - Prob. 96ACh. 45 - Prob. 97ACh. 45 - Prob. 98ACh. 45 - Prob. 99ACh. 45 - Prob. 100ACh. 45 - Prob. 101ACh. 45 - Prob. 102ACh. 45 - Prob. 103ACh. 45 - Prob. 104ACh. 45 - Prob. 105ACh. 45 - Prob. 106ACh. 45 - Prob. 107ACh. 45 - Prob. 108A
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