Using laplace transforms solve the following problems:
1. Find Y(t) if
Y'''' + 2Y'' +Y = 3 + cos 2t
with Y(0) = Y'(0) = Y''(0) = Y'''(0) please show the partial fraction expansion and how it was obtained..do not need to invert.
replace cos2t with f(t) and show that solution.
Laplace transforms are investigated. The solution is detailed and well presented.