Method of variation parameter. Please help me to solve exercise b and c.

No: Subject:.. Date : METHODS OF VARIATION PARAMETER The method of solution ay" + by' t cy = fix ) consider a day + b dy +cy = f(x ) dxo dx 1- Determine a and f (x ) 2- Determine y . yo the indepent solutions for the associated homogeneous equation- yh = 491) +: by2) 3- Find Wrongkian , W = yi yo = 41 40' - 41 40 y'i 4 Find U and V 5 - The general solution is given by y= uy, + vys U = - [ yo fix) do + A V = p y , fra ) dx + B aw aw EXERCISE By using Method of variation of Parameter , solve the differential equations- ally" ty' - ay = (x+2) ex anew answer : y ( x ) = Ae " + Bex + I woex + 5 xex - 5 ex" 6 9 07 bly" tay' = x sin ( 2x ) answer = y ( x ) = At Be " - 1 x cos ( ox ) - 1 (as ( 2x ) - 1 x sin (ox) + I sin (ax ) 8 16 8 cly " + 6y ' + 89 = sin x , 9 10 ) = 0 and y' (0) = 1 answer : y (x ) = 1 (- 45e 4x + 51ex + 7 sin X - 6 cos x ) 85