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task 1 evaluate laplace transforms and their


Task 1

Evaluate Laplace transforms and their inverse using tables and partial fractions

1.   Determine the Laplace transform of each of the following

1709_Evaluate Laplace transforms and their inverse using tables and partial fractions.png

2.   Evaluate the inverse Laplace transforms of the subsequent functions

1948_Evaluate Laplace transforms and their inverse using tables and partial fractions1.png

Task 2 

Solve first and second order differential equations using Laplace transforms

3.   Solve the subsequent first order differential equations using Laplace transforms

1301_Evaluate Laplace transforms and their inverse using tables and partial fractions2.png

4.   Use  Laplace transform to solve the subsequent second order differential equation

1941_Evaluate Laplace transforms and their inverse using tables and partial fractions3.png

Task 3 

Model and examine engineering systems and evaluate system behaviour using Laplace transforms

5.   A series LR circuit with a step input voltage will be modelled by the equation:

339_Evaluate Laplace transforms and their inverse using tables and partial fractions4.png                i(0)=0  L, R and V are constants                    

Use Laplace transforms to show:

1920_Evaluate Laplace transforms and their inverse using tables and partial fractions5.png

6.   The charge in a series LCR circuit is modeled by the equation:

1208_Evaluate Laplace transforms and their inverse using tables and partial fractions6.png

Solve the equation in case when L=2 H, R=20?, C=0.02 F

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Electrical Engineering: task 1 evaluate laplace transforms and their
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