Question

Work out all the algebra in solving for Yp(x) in the equation below. Keep in mind that the two right
hand side terms in equation A are products when you demonstrate that equation B and C
are correct. Once completed, work out the algebra to get to equation D.

Yp′′ − 3Yp′ − 4Yp = −8excos2x

Additional Eqs:

A) Yp(x) = Ae^xcos2x + Be^xsin2x

B) Yp′(x) = (A + 2B)(e^xcos2x) + (−2A + B)(e^xsin2x)

C) Yp′′(x) = (−3A + 4B)(e^xcos2x) + (−4A − 3B)(e^xsin2x)

D) Yp(x) =10/13 e^xcos2x +2/13 e^xsin2x

Answer 1

ecked) 2 (A +2B) e SI, (2 )