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Given the differential equation 12 y" + 5 ty' - 12y = 0 Determine the General Solution for the given Differential Equation. (A y (t) = C, 1.772 + C,1-6.772 y(t) = C,12 + C,t-6 y (t) = C, e + C, e-6r Dy(t) = C, e + C, ® y(1) = C,r-3 cos(/2ī in[41) + C,r-3 sin(/2ī In|1) cos(/21 In/4) + C,r-3 sin(21 In|4) E

Given the differential equation 12 y" + 5 ty' - 12y = 0 Determine the General Solution for the given Differential Equation. (A y (t) = C, 1.772 + C,1-6.772 y(t) = C,12 + C,t-6 y (t) = C, e + C, e-6r Dy(t) = C, e + C, ® y(1) = C,r-3 cos(/2ī in[41) + C,r-3 sin(/2ī In|1) cos(/21 In/4) + C,r-3 sin(21 In|4) E

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation 12 y" + 5 ty' - 12y = 0 Determine the General Solution for the given Differential Equation. (A y (t) = C, 1.772 + C,1-6.772 y (1) = C, 12 + C,-6 y (t) = C, e" + C, e-6r Dy(t) = C, e + C,e- 1 ® y(1) = C,r-3 cos(/2ī mn/1) + C,1-3 cos(V21 In/|) + C,t-3 sin(V21 In||)
Transcribed Image Text:Given the differential equation 12 y" + 5 ty' - 12y = 0 Determine the General Solution for the given Differential Equation. (A y (t) = C, 1.772 + C,1-6.772 y (1) = C, 12 + C,-6 y (t) = C, e" + C, e-6r Dy(t) = C, e + C,e- 1 ® y(1) = C,r-3 cos(/2ī mn/1) + C,1-3 cos(V21 In/|) + C,t-3 sin(V21 In||)
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