🔵31 - Inverse Laplace Transforms using Partial Fractions: Repeated Linear Factors
In this lesson we are going to find the inverse Laplace Transforms of complex rational functions using partial fraction decomposition.
The method of partial fractions helps us to decompose a complex rational function into the sum of simple rational functions.
We shall consider three cases: Rational functions with
1. Non-repeated Linear Factors
2. Repeated Linear Factors
3. Quadratic Factors
If F(s) = L(f(t)), then f(t) = inverse L(f(t)).
The inverse Laplace Transforms is used to obtain an inverse mapping of a given Laplace Transform F(s).
Playlists on various Course
1. Applied Electricity
• APPLIED ELECTRICITY
2. Linear Algebra / Math 151
• LINEAR ALGEBRA
3. Basic Mechanics
• BASIC MECHANICS / STATICS
4. Calculus with Analysis / Calculus 1 / Math 152
• CALCULUS WITH ANALYSIS / CALCULUS 1 /...
5. Differential Equations / Math 251
• DIFFERENTIAL EQUATIONS
6. Electric Circuit Theory / Circuit Design
• ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN
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