I need 8 & 9. Please show work.

Answers are given. Please use this menthod and find a particular solution. 7- Lot 000 = 01(2) + 02(2) + - - . + Q.(x)- Therefore P(D)y - 0(2) =-= Q.(::) + Q.(z) + - - . + 0.0:). We showed in comment 24.25, that a. solution y, of P(D)y = 0(2) is the sum of the respective particula- nolutione of P(D)y = Q], P(D)y = 0,, - - - , P(D)y = Q... It follows, therefore, that if P(D)y = Q, then 1 l l 1 (25-7) y, = REG-mo: +mQa-IHH +m0~ Because of (25.7) end the rules developed in this lesson, we are now in a. position to solve a linear differential equation (25-71) M'\" + ' - - + aw + aw = 0(3), 8. y"+ y' = 32+ 23:. 9. y!!! __ y\" = 233. 8. y, = 33/3. 36 34 3 2 9. y, = 2 '2-6+T+$ +33