Partial Fractions: Solving 4/((s^2) + 4)(s-1)(s+3)

Thread starter sara_87
Start date May 6, 2008
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Fractions Partial Partial fractions

AI Thread Summary

To solve the partial fraction decomposition of 4/((s^2) + 4)(s-1)(s+3), the correct approach involves expressing it as (As + B)/((s^2) + 4) + C/(s-1) + D/(s+3). This is necessary because the quadratic denominator (s^2 + 4) requires a linear numerator. The discussion confirms that the presence of the quadratic term dictates the form of the numerator. Properly setting up the equation is crucial for finding the coefficients A, B, C, and D. Understanding the structure of the denominators is essential for accurate partial fraction decomposition.

May 6, 2008

sara_87

Homework Statement

we have 4/((s^2) + 4)(s-1)(s+3)

Homework Equations

The Attempt at a Solution

dividing it up do we get:

A/((s^2) + 4) + B/(s-1) + C/(s+3) = 4

or is it

(As + B)/((s^2) + 4) + C/(s-1) + D/(s+3) = 4

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May 6, 2008

HallsofIvy

Science Advisor

Homework Helper

The second one. Since the denominator s²+ 4 is quadratic the numerator may be As+ B.

May 6, 2008

sara_87

cheers!

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