Using the method of undetermined coefficients find the P.I for the D.E x (t) x (t) = 3et + sin t.

Question

Using the method of undetermined coefficients find the P.I for the D.E x   (t)   x  (t) = 3et + sin t.

TuteeHUB · Accepted Answer

x_p = 3te^t + ( frac{t}{3} ) (4cos u2061t + 2sin u2061t )

TuteeHUB · Answer

xp = 3et +   (  frac{t}{2}  ) (cos u2061t   2 sin u2061t )

TuteeHUB · Answer

xp = 3tet +   (  frac{1}{2}  ) (cos u2061t + sin u2061t )

TuteeHUB · Answer

xp = 3tet +   (  frac{t}{3}  ) (4cos u2061t + 2sin u2061t )

TuteeHUB · Answer

xp = 3et +   (  frac{1}{2}  ) (cos u2061t   sin u2061t )

1.	Using the method of undetermined coefficients find the P.I for the D.E x (t) x (t) = 3et + sin t.
A.	x<sub>p</sub> = 3e<sup>t</sup> + ( frac{t}{2} ) (cos u2061t 2 sin u2061t )
B.	x<sub>p</sub> = 3te<sup>t</sup> + ( frac{1}{2} ) (cos u2061t + sin u2061t )
C.	x<sub>p</sub> = 3te<sup>t</sup> + ( frac{t}{3} ) (4cos u2061t + 2sin u2061t )
D.	x<sub>p</sub> = 3e<sup>t</sup> + ( frac{1}{2} ) (cos u2061t sin u2061t )
Answer» C. x<sub>p</sub> = 3te<sup>t</sup> + ( frac{t}{3} ) (4cos u2061t + 2sin u2061t )

Discussion