Can anyone help me with this one?

[MB1380]

Any help appreciated

[Quantumcat]

i) this is very standard - to solve a differential equation using Laplace transforms, take the transform of both sides, solve for s algebraicly, then take the inverse laplace transform of both sides, gives you the answer y(t) ... don't forget the rules about derivatives: F(y') = sY + y(0), F(y'') = (s^2)Y + sy'(0) + sy(0) (I think) where Y is the Laplace transform of y(t).

ii) Same as above, use the rules about the unit step function and repeated functions.

Just read your textbook.