Differential equation, is the book wrong or am I wrong?

[Syringer]

It's a simple problem, and I don't see what I'm doing wrong..

You have to take the inverse laplace of

1/(s+2)^3 (EDIT)

So, simple enough it's t^2/2 * e^(-2t)

The book though says t^2/2 * e^(-t)

It has to be -2t right?

 

[pillage2001]

Originally posted by: Syringer
It's a simple problem, and I don't see what I'm doing wrong..

You have to take the inverse laplace of

1/(s+2)^2

So, simple enough it's t^2/2 * e^(-2t)

The book though says t^2/2 * e^(-t)

It has to be -2t right?

I think it's -2t. I might be wrong. It's been 2 years since I took that class.

 

[dighn]

according to my book it should be te^(-2t)...

 

[Stojakapimp]

It should just be t*e^-2t

 

[Stojakapimp]

you do know that t^2/2 is the same as t^1 which is the same at t, right?

 

[Syringer]

Originally posted by: Stojakapimp
you do know that t^2/2 is the same as t^1 which is the same at t, right?

No, I meant it's (1/2)t^2..

But whoops, I actually meant 1/(s+2)^3..

 

[dighn]

in that case you should be right

 

[Stojakapimp]

Originally posted by: Syringer

Originally posted by: Stojakapimp
you do know that t^2/2 is the same as t^1 which is the same at t, right?

No, I meant it's (1/2)t^2..

But whoops, I actually meant 1/(s+2)^3..

in that case, you are right...it should be -2t

 

[Stojakapimp]

Originally posted by: dighn
in that case you should be right

man, you keep posting right before me...now it looks like i'm just copying you

 

[dighn]

copy cat

j/k

 

[Syringer]

LOL at you two