Partial Fractions / Partial Fraction Decomposition

Partial fraction decomposition is used to convert a fraction with multiple factors in the denominator into a sum of terms, with one term for each factor and a constant in the numerator. Doing so simplifies integration and differentiation.

$Partial fractions X(t) - RF Cafe$

$Partial fractions X(t) - RF Cafe$

$Partial fractions X{t1} - RF Cafe$

Example:

$Partial fractions X(t) example - RF Cafe$

$Partial fractions X(t) - RF Cafe$

$Partial fractions X(t) - RF Cafe$

$Partial fractions X(t) - RF Cafe$

Note: If poles of X (t) are of multiple order, then include a term for each order; i.e., if (t-1)² is in the denominator (a pole), then include both (t-1) and (t-2)² terms.




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RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ... All trademarks, copyrights, patents, and other rights of ownership to images and text used on the RF Cafe website are hereby acknowledged. My Hobby Website: AirplanesAndRockets.com