Laplace Transform of t^2(e^2t)sin(3t)

[Karmel]

Homework Statement

f(t) = t^2(e^2t)sin(3t)

Homework Equations

The Attempt at a Solution

I think that I am just not breaking this down right. If I transform (e^2t)sin(3t) I used b/(s-a)^2 + b^2 which came out to = 3/(s-2)^2 +9 and transform the t^2 and get t^2/s...Since I have the correct answer in front fo me I already know that this wrong and I am not seeing how the teacher got to that answer since he didn't show the steps...

 

[rock.freak667]

Apply L{t²sin3t} first. Then apply the shift property to obtain L{e^2tt²sin3t}

 

[AypaPhysics]

Hi,

I want to know the difference between differentiation and Integration with practical example? How can a differential equation x^3+x^2+x=32 can be explained in practical sense?
can anybody help me out?

 

[rock.freak667]

Hi,

I want to know the difference between differentiation and Integration with practical example? How can a differential equation x^3+x^2+x=32 can be explained in practical sense?
can anybody help me out?

start a new thread, don't hijack someone else's