Completesolutionwith explanation based on the correct method specified in each number. I will check the answer. Please include some tips and explanation to determine them. Additional notes are NOT REQUIRED BUT GREATLY APPRECIATED. I'll give honest feedback; thumbs up if I'm satisfied, thumbs down if I don't see an effort. Thanks in advance.

USE LAPLACEEE

(a) f'(t) - f(t) = 2 where f (0) = 0 (b) f'(t) + f(t) = et where f(0) = 0 (c) f'(t) + f(t) =3 where f (0) = -2 (d) f'(t) - f(t) = e2t where f (0) = 1 (e) 3f'(t) - 2f(t) = 4e + 2 where f(0) = 0