MATH 286 Lecture 21: Guess Yp for nth DE

For Problems 1-4, Use Variation of Parameters to find a single solution, yp, and write the general solution u'1 = -y2g / w u'2 = y1g / W y" - y' - 20y = 108e2t y" - y' - 2y = -9e-t y" + 2y' + y = 4e-t

write an expression for the nth term of the sequence. -3, 0, 5, 12. 21, 32. 45, 60, 77, 1, 2, 2, 8/6, 16/24, 32/120, 64/720,