1. Consider the following differential equation for y{3:] and Flat] city dy E + 2:15 + Elegy = FLT] [1] where o is some arbitrary nonzero real constant and yl] = 3 and y'l] = a. {a} For which values of a does x] exhibit mieillations'f {h} Solve equation [1] where Ft:;]"} = ll. 01' [e] Solve equation {1] where FLT] = e' Check that your nal solution indeed satises gym] 2 3 and yam] = a. If not~ you have made a mistake! {d} Solve equation (1] where FLT) = e'\" singom + R)._ for some real constant R. [e] Part [d] yields more than one particular solution. Is your nal solution to part {d} unique? DiseiLss briey {no more than 6 lines). There is no need to prove your result