- #1
LostEngKid
- 12
- 0
Hi all, 2 questions here
1) I've been doing some questions on laplace transforms and have been running into some trouble getting my answers into the same form as the answers given with the questions.
For example:
f(t) = 1 - e^(-t)
Using the linearity property i got 1/s - 1/(s-1) which is correct? But the answers give 1/s(s-1). Later in the lecture notes they show how to do the inverse laplace transform of the answer they gave and use partial fractions to get it into the form of the answer I got, i was just wondering what they have done to go from my answer to their answer, what steps am i missing?
2) f(t) = sinhtcosht, does this involve convolution or is that only when doing the inverse laplace transform where L(f)L(g) = f(t)*g(t)?
1) I've been doing some questions on laplace transforms and have been running into some trouble getting my answers into the same form as the answers given with the questions.
For example:
f(t) = 1 - e^(-t)
Using the linearity property i got 1/s - 1/(s-1) which is correct? But the answers give 1/s(s-1). Later in the lecture notes they show how to do the inverse laplace transform of the answer they gave and use partial fractions to get it into the form of the answer I got, i was just wondering what they have done to go from my answer to their answer, what steps am i missing?
2) f(t) = sinhtcosht, does this involve convolution or is that only when doing the inverse laplace transform where L(f)L(g) = f(t)*g(t)?