mersenneforum.org Partial fraction of this expression?please!!
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 2005-01-17, 05:44 #1 tinhnho   Jan 2005 11012 Posts Partial fraction of this expression?please!! hi everyone i have a proplem with this excercise: f(t)= (t+1)/(t^2 + 8t + 16) Here what i have: (t+1)/(t^2 + 8t + 16) = (t+1)/(t+4)^2 (t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2 i am stuck from here, anyone please help me, thanks first
 2005-01-17, 06:21 #2 jinydu     Dec 2003 Hopefully Near M48 2·3·293 Posts Hi tinhnho (t+1)/(t+4)^2 = K1/(t+4) + K2/(t+4)^2 Continue by multiplying both sides by (t+4)^2: t+1 = K1*(t+4) + K2 t+1 = (K1*t) + (4K1 + K2) Equating coefficients for t, we have K1 = 1 Equating constant coefficients, we have: 4K1 + K2 = 1 4 + K2 = 1 K2 = -3 Thus, the partial fraction representation is: f(t) = 1/(t+4) - 3/(t+4)^2 Mathematica agrees.
 2005-01-17, 06:43 #3 tinhnho   Jan 2005 1310 Posts Excellent job jinydu. BTW, i have searched around on internet to find the site for partial fraction, but cann't find it. I just wonder if you have any site which talk about this thing, because i need to review. Have a good day

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