Laplace Transform question

[Guest]

I have gotten this far but I am stuck
y' + 2y = t e^-2t , y(0)=0

[sL(y)-y(0)] + 2L(y) = 1/(s+2)^2

L(y)(s+2) = 1/(s+2)^2

L(y) = 1/(s+2)^2(s+2) or 1/(s+2)^3

Question: which laplace transform fits these equation?[/list]

 

[happy]

I have gotten this far but I am stuck
y' + 2y = t e[/size]-2t , y(0)=0

[sL(y)-y(0)] + 2L(y) = 1/(s+2)^2

L(y)(s+2) = 1/(s+2)^2

L(y) = 1/(s+2)^2(s+2) or 1/(s+2)^3

Question: which laplace transform fits these equation?[/list]

What is this?

 

[royhaas]

Consider the Laplace transform of the function \(\displaystyle f(t)=t^2e^{-2t},t>0\), and you will have your answer.