Which of the following is a correct form of a particular solution of y" + 3y - 4y = 3 cos(2t)et + 2t² ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is a correct form of a particular solution of
y" + 3y - 4y = 3 cos (2t)e² + 2t² ?
Oyp = A cos (2t) + B sin(2t) + Cett + Dt² + Et+F
Ур
О Ур
Yp = A cos (2t) + Bet + Ct² + Dt + E
Yp = A cos(2t) + Bet + Ct²
Yp = t(A cos(2t) + Bet + Ct²)
| Yp = t² (A cos(2t) + Bet + Ct² + Dt + E)
O yp=
Yp = t(A cos(2t) + B sin(2t) + Cett + Dt² + Et+F)
Transcribed Image Text:Which of the following is a correct form of a particular solution of y" + 3y - 4y = 3 cos (2t)e² + 2t² ? Oyp = A cos (2t) + B sin(2t) + Cett + Dt² + Et+F Ур О Ур Yp = A cos (2t) + Bet + Ct² + Dt + E Yp = A cos(2t) + Bet + Ct² Yp = t(A cos(2t) + Bet + Ct²) | Yp = t² (A cos(2t) + Bet + Ct² + Dt + E) O yp= Yp = t(A cos(2t) + B sin(2t) + Cett + Dt² + Et+F)
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