hi guys... bit of a harder Q is anyone has a sec?

Could someone walk me through a laplace transform of :
$$\Large f(t) = 5u(t) + 5e^{-5t}u(t) + sin(wt)u(t)$$
or a laplace transform of anything? please and thank you.

Question

hi guys... bit of a harder Q is anyone has a sec?

Could someone walk me through a laplace transform of :
$$\Large f(t) = 5u(t) + 5e^{-5t}u(t) + sin(wt)u(t)$$
or a laplace transform of anything? please and thank you.

twopointinfinity · Answer

We can help.
Free Cupcakes.
@DUDE..IM..A..DUCK @Mchilds15  @Dmb1215 @AngelWilliams16 @random231 @SGTC! @Ray_Rae1297 @Punkchick @CoolKatt16 @Kalob @brandonE

anonymous · Answer

I would help for a cupcake ;-; But i dont know how to do that yet ._. Sorry

perl · Answer

i think paul has some notes on laplace transformations

mchilds15 · Answer

It's easy...

perl · Answer

http://tutorial.math.lamar.edu/Classes/DE/LaplaceTransforms.aspx#Laplace_Trans_Ex1a

unklerhaukus · Answer

is $u$ the unit heaviside step function ?

jack1 · Answer

unsure @UnkleRhaukus ... it's literally just a q of many in my textbook... but thought they would indicate if it was heaviside

unklerhaukus · Answer

$$\Large f(t) = 5u(t) + 5e^{-5t}u(t) + \sin(\omega t)u(t)\ \ \\Large\mathcal L\{f(t)\}=\mathcal L\{5u(t) + 5e^{-5t}u(t) + \sin(\omega t)u(t)\}\ \ \
\Large F(s)=5\mathcal L\{u(t)\}+5\mathcal L\{e^{-5t}u(t)\}+\mathcal L\{\sin(\omega t)u(t)\} $$

unklerhaukus · Answer

so $u(t)$ is just some arbitrary function?

perl · Answer

I dont think so It is called the unit step function http://math.bd.psu.edu/faculty/jprevite/251f11/250booklaplacept2.pdf

jack1 · Answer

believe so, not told otherwise

perl · Answer

also called Heaviside function|dw:1394542979163:dw|