Question: Can I get help with these differential equations with work shown please? Thanks! (1) Find the general solution of the differential equation y ' -

Can I get help with these differential equations with work shown please? Thanks!

(1) Find the general solution of the differential equation y '" - 2y "+5y' =0. (2) Find the particular solution of the initial-value problem y'"- 3y" - 4y ' +12y = 0; y (0) = 1; y '(0) = 1; y "(0) = -1. (3) Find the general solution of the differential equation - NO OVERLAP! y "- y' - 12 y = 20 e2x. (4) Find the general solution of the differential equation - OVERLAP! y '" -y' =6ex. (5) Find the general solution of the differential equation y + y= sec x tan x. (6) Find the general solution of the differential equation y " - 2y'ty x 2 . (7) Use Cauchy-Euler to find the general solution of the differential equation x y "+ 5xy'+ 3y=0. (8) Use Cauchy-Euler to find the general solution of the differential equation x2 y " - 2xy' + 2y=2Inx+1

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