ADVANCED ENGINEERING MATH.>CUSTOM<
10th Edition
ISBN: 9781119480150
Author: Kreyszig
Publisher: WILEY C
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19) Consider this initial value problem:
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8y +30y+25y = 0, y(0) = -2, y (0) = 8
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equation y + 8y + 52y=0? Here, C, C₁, and C2 are arbitrary real constants.
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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))
Chapter 16 Solutions
ADVANCED ENGINEERING MATH.>CUSTOM<
Ch. 16.1 - Prob. 1PCh. 16.1 - Prob. 2PCh. 16.1 - Prob. 3PCh. 16.1 - Prob. 4PCh. 16.1 - Prob. 5PCh. 16.1 - Prob. 6PCh. 16.1 - Prob. 7PCh. 16.1 - Prob. 8PCh. 16.1 - Prob. 9PCh. 16.1 - Prob. 10P
Ch. 16.1 - Prob. 11PCh. 16.1 - Prob. 12PCh. 16.1 - Prob. 13PCh. 16.1 - Prob. 14PCh. 16.1 - Prob. 15PCh. 16.1 - Prob. 16PCh. 16.1 - Prob. 18PCh. 16.1 - Prob. 19PCh. 16.1 - Prob. 20PCh. 16.1 - Prob. 21PCh. 16.1 - Prob. 22PCh. 16.1 - Prob. 23PCh. 16.1 - Prob. 24PCh. 16.1 - Prob. 25PCh. 16.2 - Prob. 1PCh. 16.2 - Prob. 2PCh. 16.2 - Prob. 3PCh. 16.2 - Prob. 4PCh. 16.2 - Prob. 5PCh. 16.2 - Prob. 6PCh. 16.2 - Prob. 7PCh. 16.2 - Prob. 8PCh. 16.2 - Prob. 9PCh. 16.2 - Prob. 10PCh. 16.2 - Prob. 11PCh. 16.2 - Prob. 12PCh. 16.2 - Prob. 13PCh. 16.2 - Prob. 14PCh. 16.2 - Prob. 15PCh. 16.2 - Prob. 16PCh. 16.2 - Prob. 17PCh. 16.2 - Prob. 18PCh. 16.2 - Prob. 19PCh. 16.2 - Prob. 20PCh. 16.2 - Prob. 21PCh. 16.2 - Prob. 22PCh. 16.2 - Prob. 23PCh. 16.2 - Prob. 24PCh. 16.3 - Prob. 1PCh. 16.3 - Prob. 2PCh. 16.3 - Prob. 3PCh. 16.3 - Prob. 4PCh. 16.3 - Prob. 5PCh. 16.3 - Prob. 6PCh. 16.3 - Prob. 7PCh. 16.3 - Prob. 8PCh. 16.3 - Prob. 9PCh. 16.3 - Prob. 10PCh. 16.3 - Prob. 11PCh. 16.3 - Prob. 12PCh. 16.3 - Prob. 14PCh. 16.3 - Prob. 15PCh. 16.3 - Prob. 16PCh. 16.3 - Prob. 17PCh. 16.3 - Prob. 18PCh. 16.3 - Prob. 19PCh. 16.3 - Prob. 20PCh. 16.3 - Prob. 21PCh. 16.3 - Prob. 22PCh. 16.3 - Prob. 23PCh. 16.3 - Prob. 24PCh. 16.3 - Prob. 25PCh. 16.4 - Prob. 1PCh. 16.4 - Prob. 2PCh. 16.4 - Prob. 3PCh. 16.4 - Prob. 4PCh. 16.4 - Prob. 5PCh. 16.4 - Prob. 6PCh. 16.4 - Prob. 7PCh. 16.4 - Prob. 8PCh. 16.4 - Prob. 9PCh. 16.4 - Prob. 10PCh. 16.4 - Prob. 11PCh. 16.4 - Prob. 12PCh. 16.4 - Prob. 13PCh. 16.4 - Prob. 14PCh. 16.4 - Prob. 15PCh. 16.4 - Prob. 16PCh. 16.4 - Prob. 17PCh. 16.4 - Prob. 18PCh. 16.4 - Prob. 19PCh. 16.4 - Prob. 20PCh. 16.4 - Prob. 21PCh. 16.4 - Prob. 22PCh. 16.4 - Prob. 23PCh. 16.4 - Prob. 24PCh. 16.4 - Prob. 25PCh. 16.4 - Prob. 26PCh. 16.4 - Prob. 28PCh. 16 - Prob. 1RQCh. 16 - Prob. 2RQCh. 16 - Prob. 3RQCh. 16 - Prob. 4RQCh. 16 - Prob. 5RQCh. 16 - Prob. 6RQCh. 16 - Prob. 7RQCh. 16 - Prob. 8RQCh. 16 - Prob. 9RQCh. 16 - Prob. 10RQCh. 16 - Prob. 11RQCh. 16 - Prob. 12RQCh. 16 - Prob. 13RQCh. 16 - Prob. 14RQCh. 16 - Prob. 15RQCh. 16 - Prob. 16RQCh. 16 - Prob. 17RQCh. 16 - Prob. 18RQCh. 16 - Prob. 19RQCh. 16 - Prob. 20RQCh. 16 - Prob. 21RQCh. 16 - Prob. 22RQCh. 16 - Prob. 23RQCh. 16 - Prob. 24RQCh. 16 - Prob. 25RQ
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- 8) The pair of functions y₁ = eбt and y₁ = teбt forms a fundamental set of solutions for the differential equation y'' - 12y' + 36y= 0.arrow_forward6) 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,∞).arrow_forward5) Consider the initial value problem 9 (8² 9t+ 1)y' - 8ty = sin(2πt), ) = -4, y = -3.5 16 16 On which of these intervals is this initial value problem certain to have a unique twice differentiable solution? Select all that apply. A) (-∞, ∞) B) (0, 1) 25 C) (-4, -3.5) D) E) 32'32 明arrow_forward
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