(b) Find a particular solution for each of the given differential equations (i) y" - 6y +9y = e² - 5 cos x, (ii) y"-6y + 8y = e² - 5 cosx. Then find the general solutions of these equations. (You may use the results of part (a).) -5

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Needed to be solved Part B only and get the thumbs up please show neat and clean work
3 (a) Find general solutions of the given differential equations:
(i) y" - 6y +9y = 0,
(ii) y" - 6y + 8y = 0.
(b) Find a particular solution for each of the given differential equations
(i) y" -6y +9y = e² - 5 cos x,
(ii) y"-6y + 8y = e² - 5 cosx.
Then find the general solutions of these equations.
(You may use the results of part (a).)
Transcribed Image Text:3 (a) Find general solutions of the given differential equations: (i) y" - 6y +9y = 0, (ii) y" - 6y + 8y = 0. (b) Find a particular solution for each of the given differential equations (i) y" -6y +9y = e² - 5 cos x, (ii) y"-6y + 8y = e² - 5 cosx. Then find the general solutions of these equations. (You may use the results of part (a).)
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