Using the method of undetermined coefficients find the P.I for the D.E x’’’(t) – x’’(t) = 3et + sin⁡t.

Question

TuteeHUB · Accepted Answer

xp = 3tet +  $\frac{t}{3}$ (4cos⁡t + 2sin⁡t )

TuteeHUB · Answer

xp = 3et +  $\frac{t}{2}$  (cos⁡t – 2 sin⁡t )

TuteeHUB · Answer

xp = 3tet +  $\frac{1}{2}$  (cos⁡t + sin⁡t )

TuteeHUB · Answer

xp = 3tet +  $\frac{t}{3}$ (4cos⁡t + 2sin⁡t )

TuteeHUB · Answer

xp = 3et +  $\frac{1}{2}$ (cos⁡t – sin⁡t )

1.	Using the method of undetermined coefficients find the P.I for the D.E x’’’(t) – x’’(t) = 3et + sin⁡t.
A.	xp = 3et + \(\frac{t}{2}\) (cos⁡t – 2 sin⁡t )
B.	xp = 3tet + \(\frac{1}{2}\) (cos⁡t + sin⁡t )
C.	xp = 3tet + \(\frac{t}{3}\) (4cos⁡t + 2sin⁡t )
D.	xp = 3et + \(\frac{1}{2}\) (cos⁡t – sin⁡t )
Answer» C. xp = 3tet + \(\frac{t}{3}\) (4cos⁡t + 2sin⁡t )

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