1. THEORY: Laplace transform ( Definition ), its original ( Definition ). 1 that L[sin at] 2 p² + 1² Task: Find the original f(t) of the Laplace transform 4+3p 5 F(p)= p²-8p+7 (p-1)² Using definition and L[sint] = prove + a p² + a²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 43E
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Vipul

1. THEORY: Laplace transform ( Definition ), its original ( Definition ).
1
that L[sin at]
2
p² + 1²
Task: Find the original f(t) of the Laplace transform
4+3p
5
F(p)=
p²-8p+7 (p-1)²
Using definition and L[sint] =
prove
+
a
p² + a²
Transcribed Image Text:1. THEORY: Laplace transform ( Definition ), its original ( Definition ). 1 that L[sin at] 2 p² + 1² Task: Find the original f(t) of the Laplace transform 4+3p 5 F(p)= p²-8p+7 (p-1)² Using definition and L[sint] = prove + a p² + a²
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