Question

need help solving for constants:
my attempt (1+2s^2)/(s^2(s^2+3s+2)= A/(s^2)+B/(s+1)+C/(s+2) need help solving for constants:
my attempt (1+2s^2)/(s^2(s^2+3s+2)= A/(s^2)+B/(s+1)+C/(s+2) @Mathematics

Answer 1

I am pretty sure I did it wrong since it is s^2((s+1)(s+2))

Answer 2

just gotta get another one in there for a single "s"

Answer 3

you have 2 multiples of s; s^2 and s

Answer 4

not sure I understand

Answer 5

\[\frac{(1+2s^2)}{s^2(s^2+3s+2)}=\frac{A}{s^2}+\frac{B}{(s+1)}+\frac{C}{(s+2)}+\frac{D}{s} \]

Answer 6

you have to account for all the possible decompositions

Answer 7

1\s^2 decomps into 1/s and 1/s^2

Answer 8

once thats determined; multiply both sides by the common denominator of the left

Answer 9

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

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

\[1+2s^2=\]\[A(s+1)(s+2)+Bs^2(s+2)+Cs^2(s+1)+Ds(s+1)(s+2)\]

Answer 10

Ohhh okay I see what to do now

Answer 11

good ;)

Answer 12

thanks for the help!

Answer 13

yep, and good luck ;)