x''+x=F(t) F(t)= {4; 0≤t≤2 x(0)=x'(0)=0
{t+2; t>2
[s X(s)-0-0] + X(s) = 4 - 4H2 + tH2 +2H2

X(s)[s + 1] = 4/s-4 + (1/s2+2/s) + 2/s

X(s) =

Now, I have to take the inverse Laplace to get the function back to x(y) but I'm not sure where to start,.... I would really appreciate any help!!!!
Thanks in advance!