anonymous
  • anonymous
Find the partial fraction decomposition of F(s)=(3s^2+3s+18)/(s^3+9s)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ 3s^2 + 3s + 18 }{ s(s^2 + 9) } = \frac{ A }{ s } +\frac{ Bx + C }{ s^2 + 9 }\] should I keep going or is this enough?
anonymous
  • anonymous
X?
anonymous
  • anonymous
sorry. Bs + C

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anonymous
  • anonymous
so used to using x :P
anonymous
  • anonymous
You'll want to solve for A, B and C
anonymous
  • anonymous
What is the pattern for these kind of questions?
anonymous
  • anonymous
The coefficient numerators are one polynomial order lower than the denominator. You must reduce the denominator in a multiple of the simplest polynomials. If it were s^3 -9s we'd have s(s^2 -9) = s(s-3)(s+3) and we'd be dealing with A/s + B/(s-3) + C/(s+3)
anonymous
  • anonymous
If we had s^4 + 9s in the denominator, we'd be dealing with: \[\frac{ A }{ s } + \frac{ Bx^2 + Cx + D }{ s^3 + 9 }\]
anonymous
  • anonymous
Or by pattern, do you mean how to solve or A, B and C?
anonymous
  • anonymous
Thx,I get the way!
anonymous
  • anonymous
cool :)
anonymous
  • anonymous
Haha Bs :P . XD .

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