Q1) L {4cost sin2t}

Q2) L { f 0- infinite(the big f sign) e pwt-3t ( cos4t - t^2)dt}

Q3) Given iR + 1/C f 0- infinite(the big f sign) i dt + Ldi/dt = 4, where R,C,L are constants. show that if i(0) = 0, then

L {i} = 4C/LCs^2+RCs+1

Ans:

1) (4/(s-1)^2+4) +(4/s+1)^2 +4

2) 1/s [ (s+3/(s+3)^2 + 16) - 2/(s+3)^2]

3) I(s) = 4s/ (s+3)^2(s^2+4)

Help... i just started learning laplace transform. i am struggling because i am like direct to 2yr to my school and i have never done anything related before.. anyone can refer me to any good online materials that teaches the basics(if any)....also provide me with the workings/expl for the above question. Thanks for helping.