What Is the Correct Inverse Laplace Transform of \( \frac{s+1}{s^2 - 4s + 4} \)?

[cabellos]

inverse laplace question help please...

i am trying find the inverse laplace transfor of s+1/s^2 -4s +4

using partial fractions and solving my answer is e^2t + 3e^2t

however checking this in an online fourier-laplace calculator it comes up with e^2t + 3te^2t

who is correct? could you show me how you get your answer please...

thanks

 

[nazzard]

Hello cabellos,

I get the same result as your calculator. You might have made a mistake while using the partial fractions method.

\frac{s+1}{s^2-4s+4}=\frac{s+1}{(s-2)^2}=\frac{1}{s-2}+\frac{3}{(s-2)^2}

Regards,

nazzard

 

[cabellos]

hi, oops I am not awake :zzz: ...i used s-2 as the denominator for both A and B. Thanks