help to solve some laplace question ... :)
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Question

help to solve some laplace question ... :)
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horotat · Answer

attachment

anonymous · Answer

to me, it can be written as f(t) = e^2t +1, and then just take laplace of sum = sum of laplace = 1/(s-2) +1/s

horotat · Answer

and what about this function? @OOOPS

$$ \sin (e ^{t ^{2}}) + e ^{\sin t}$$

anonymous · Answer

I really don't know, woah... your problems are tough

horotat · Answer

:D these are my homeworks :D
from "Fundamentals of
Differential Equations" book by "Arthur David Snider"

horotat · Answer

@OOOPS

horotat · Answer

what do you think about this :
please determine the inverse laplace transform for the following function :
$$\frac{ s-1 }{ 2s^{2} +s +6 }$$

anonymous · Answer

can we partial fraction it?

horotat · Answer

yes i think we can and we have to do this

anonymous · Answer

no,no, we get complex number, let's try other way

anonymous · Answer

s^2 +1/2 s +3 = s^2 +1/2s +1/16 -1/16+3= (s+1/4)^2 -47/16

anonymous · Answer

someone contribute, please

horotat · Answer

that is right. goood. go on.

anonymous · Answer

question: is this an original problem or you take a  part of it?

horotat · Answer

that is an original problem

anonymous · Answer

find inverse laplace transform?

horotat · Answer

yes thats it

anonymous · Answer

hand off, I don't know how to solve, I am sorry for being useless.

horotat · Answer

im really thank you for your helps :* you are really useful :)

turingtest · Answer

your first answer is wrong, you need to use the heaviside function to rewrite this and take the laplace transform
are you comfortable with the heaviside function $u(t-a)=u_a(t)$ ?

horotat · Answer

@TuringTest no i dont know what is heaviside function :(
what can i do to transform inverse laplace for |dw:1387732533083:dw|