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Find the solution of the following Differential Equations 1) 4y"+y 0, y(0) = 2, y'(0) = 0.

Find the solution of the following Differential Equations 1) 4y"+y 0, y(0) = 2, y'(0) = 0.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find the solution of the following Differential Equations 1) 4y"+7y =0, y(0) = 2, y'(0) = 0. %3D 3) y"+2y' -8y =0, y(0) = 1, y'(0) = 8. 5) y"- ky' = 0, y(0) = 2, y'(0) = k. 7) y'+4y = 0, y(0) = 2.8 %3D 9) y"-y'-6y 0, y(0) = 6, y'(0) = 13. 11) y"-4y'+4y = 0, y(0) = 2.1, y'(0) = 3.9 13) y"+7y'+12y = 21e", y(0) = 3.5, y'(0) = -10. 15) y"+3y' +2.25 y = 9t + 64, y(0) = 1, y'(0) = 31.5 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1. 151
Transcribed Image Text:Find the solution of the following Differential Equations 1) 4y"+7y =0, y(0) = 2, y'(0) = 0. %3D 3) y"+2y' -8y =0, y(0) = 1, y'(0) = 8. 5) y"- ky' = 0, y(0) = 2, y'(0) = k. 7) y'+4y = 0, y(0) = 2.8 %3D 9) y"-y'-6y 0, y(0) = 6, y'(0) = 13. 11) y"-4y'+4y = 0, y(0) = 2.1, y'(0) = 3.9 13) y"+7y'+12y = 21e", y(0) = 3.5, y'(0) = -10. 15) y"+3y' +2.25 y = 9t + 64, y(0) = 1, y'(0) = 31.5 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1. 151
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