Question 4 (15pts): Determine the form for a particular solution (Do not evaluate coefficients) to y" + 6y +9y = f(t) wh
Posted: Thu May 05, 2022 7:38 pm
- Question 4 15pts Determine The Form For A Particular Solution Do Not Evaluate Coefficients To Y 6y 9y F T Wh 1 (55.78 KiB) Viewed 41 times
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Question 4 (15pts): Determine the form for a particular solution (Do not evaluate coefficients) to y" + 6y +9y = f(t) where f(t) equals Aux = r = 3 te³t double t rt Ypc+) (At + A.) é e 3t J₁ (²) = t (At + A.) 2²³² 2) t³ sin (√2t) Qutet sinBE урсе)=fаt. at = |At ecost B = √2 not a root $=0 3 Q₁ = t³ n = ²³² ypce) = (A₂E².A₂ #² At+ A-) cos √= (B₂t³ - B₂t² 3) (3²-6)e-3t Putert Yp(x) = {(A# =#) e ²t m = 2 r = -3 S=O -3 Ypees= (A₂E² + A₁ E² + A.) ²³ t 5 Pret m=1 r=3 a root S=1 -x