- #1
snorrenaevdal
- 1
- 0
Homework Statement
I just want to know how to proceed to get
1/s - s/(s^2+1)
using partial fractions on the term
1/(s(s^2 − 1))
I know this is probably straight forward but I just don't get it.
Thanks.
You DON'T. (And so it is certainly not "straight forward"!)snorrenaevdal said:Homework Statement
I just want to know how to proceed to get
1/s - s/(s^2+1)
using partial fractions on the term
1/(s(s^2 − 1))
I know this is probably straight forward but I just don't get it.
Thanks.
Partial fractions are a method used to break down a complex fraction into smaller, simpler fractions. This is done by decomposing the denominator into its individual factors and expressing the original fraction as a sum of fractions with these factors as denominators. This process is useful in solving integral equations and simplifying algebraic expressions.
Partial fractions are used to simplify complex algebraic expressions and make it easier to solve integral equations. They also help in finding the roots of a polynomial function and identifying the behavior of rational functions at different points.
The process of finding partial fractions involves breaking down the original fraction into smaller fractions with simpler denominators. This is done by first factoring the denominator and then expressing the original fraction as a sum of fractions with these factors as denominators. The coefficients of each fraction can then be determined by equating the original fraction to the sum of the partial fractions and solving for the coefficients.
The main difference between partial fractions and regular fractions is that partial fractions involve breaking down a complex fraction into simpler fractions, while regular fractions are already in their simplest form. Partial fractions are used to simplify algebraic expressions and solve integral equations, while regular fractions are used in basic arithmetic operations.
Partial fractions are a method used to express a complex fraction as a sum of simpler fractions. This is done by factoring the denominator and expressing the original fraction as a sum of fractions with these factors as denominators. The coefficients of each fraction can then be determined by equating the original fraction to the sum of the partial fractions and solving for the coefficients. This process helps in simplifying algebraic expressions and solving integral equations.