trickslapper
Junior Member
- Joined
- Sep 17, 2010
- Messages
- 62
my original is: x'' +(w^2)*x=Fsin(w*t); with initial conditions x(0)=x'(0)=0.
I applied laplace transform to all three pieces and i got:
X*s^2 + w^2/s^2 = F*w/s^2+w^2.
The answer i'm supposed to get is F*w/(s^2 + w^2)^2 but i can't get to it.. also i've been given a hint that says to express the final answer as (F/2w^2) * 2w^3/(s^2+w^2)^2
is there some algebra trick i need to apply somewhere, because when i solve the algebraic equation for X i don't get the answer i'm supposed to get. Any ideas to get the correct Laplace transform? If i can get there then i'll try the inverse laplace on my own (i know what that is supposed to be as well)
I applied laplace transform to all three pieces and i got:
X*s^2 + w^2/s^2 = F*w/s^2+w^2.
The answer i'm supposed to get is F*w/(s^2 + w^2)^2 but i can't get to it.. also i've been given a hint that says to express the final answer as (F/2w^2) * 2w^3/(s^2+w^2)^2
is there some algebra trick i need to apply somewhere, because when i solve the algebraic equation for X i don't get the answer i'm supposed to get. Any ideas to get the correct Laplace transform? If i can get there then i'll try the inverse laplace on my own (i know what that is supposed to be as well)