Question

how to turn \[\frac{2s^2 + 1}{s(s+1)^2}\]into partial fractions?

special surprise inside

Answer 1

the normal way

Answer 2

\[\text{given fraction}=\frac{A}{s}+\frac{B}{s+1}+\frac{C}{(s+1)^2}\]

Answer 3

i got something like A = 1 and C = -3 but i got stuck with B

Answer 4

is root sub applicable? or i can only use gaussian method?

Answer 5

see attachments.

Answer 6

ahh so you did use gaussian

Answer 7

I not aware of those names, but yeah..

Answer 8

*am not.

Answer 9

follow up question... \[\large \mathcal L^{-1}\left \{ \frac{2s^2 + 1}{(s+1)^2}\right \} = 1 + e^{-t} - 3te^{-t}\]
is that right?

Answer 10

I'm sorry, but this is out of my league. I don't even know what that 'L' thing means.

Answer 11

haha =)) yeahhh...good stuffs >:))

Answer 12

:D

Answer 13

I don't see the "surprise".

Answer 14

the "surprise" is it's an easy question with a hard question follow up =))

Answer 15

aha, i see..