Laplace & Inverse Laplace transforms

[Cocoleia]

Homework Statement

I am given this equation:

and asked to solve using Laplace transforms

The Attempt at a Solution

This is what I did:

This seemed logical to me, I used partial fractions and it stayed pretty simple.

This is what the solutions my prof posted do:

Is my answer equivalent to this, or are their faults in my logic and work ?

 

[gneill]

One problem I can see with your work is where you write:

$(s^2 + 9) \neq (s - 3)(s + 3)$

 

[rude man]

Also,
s^2 + 6s + 8 does not factor to (s-2)(s-4). Poles in the rt-hand plane are bad business!

 

[rude man]

Homework Statement

I am given this equation:
View attachment 218670
and asked to solve using Laplace transforms

The Attempt at a Solution

This is what I did:
View attachment 218671
View attachment 218672
This seemed logical to me, I used partial fractions and it stayed pretty simple.

This is what the solutions my prof posted do:
View attachment 218673

Is my answer equivalent to this, or are their faults in my logic and work ?

Their (sic) are faults in your work ...