2
votes
2answers
33 views

Partial Fraction Solution?

This is the original fraction : $$\dfrac{8s^2}{(2s-3)^3}$$ From this I get : $$4As^2 - 12As + 9A + 2Bs - 3B + C = 8s^2$$ On the solution it says $4A = 8, A=2$, okay I understand this, $4As^2 = ...
1
vote
1answer
117 views

Partial Fraction Decomposition of unknown power

I have an equation of the form: $$\frac{1}{(1+as)(1+0.5bs)^m}$$ where $m$ is unknown, and its range is $(1,2,3,...)$ How I can do the partial fraction? I am now reading a paper that derived an ...
1
vote
2answers
43 views

problem with partial fraction decomposition

I want to do partial fraction decomposition on the following rational function: $$\frac{1}{x^2(1+x^2)^3}$$ So I proceed as follows: $$\begin{align} \frac{1}{x^2(1+x^2)^3} &= \frac{A}{x} + ...
7
votes
4answers
534 views

How does partial fraction decomposition avoid division by zero?

This may be an incredibly stupid question, but why does partial fraction decomposition avoid division by zero? Let me give an example: $$\frac{3x+2}{x(x+1)}=\frac{A}{x}+\frac{B}{x+1}$$ Multiplying ...