Find Laplace Transforms using First Shifting Property | 6 Practice Problems | Exam Review | Method 3

In this we study the First Shifting Property (FSP) to find Laplace transform of certain functions that has an eᵃᵗ term. The FSP says: ℒ{e⁻ᵃᵗ f(t)} = F(s+a). We also remember this as "eat" function property as it carved out a piece of the variable.

Topics lineup
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00:00 First Shifting Property (FSP)
02:18 (a) ℒ{e⁻²ᵗt}
03:33 (b) ℒ{e³ᵗ}
05:02 (c) ℒ{e⁻²ᵗsin 3t}
06:12 (d) ℒ{e³ᵗcosh 4t}
07:54 (e) ℒ{e⁻³ᵗU(t−1)}
12:26 (f) ℒ{1+eᵗ+e²ᵗ+e³ᵗ}
13:39 (g) ℒ{e⁻⁴ᵗ(2t²−t+5)}
Practice problems

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