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

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

Post by answerhappygod »

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 )
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