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Determine Laplace transforms and their inverse using tables and partial fractions:

problem 1: Find the Laplace transform of each of the following:

1792_laplace equation.jpg

problem 2: Find the inverse Laplace transforms of the following functions:

2423_laplace transform.jpg

Solve first and second order differential equations using Laplace transforms.

problem 3
: Solve the given first order differential equations by using Laplace transforms.

1373_differential equation.jpg

problem 4: Use Laplace transform to solve the given second order differential equation:

1730_second order differential equation.jpg

Model and analyse engineering systems and determine system behaviour using Laplace transforms

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

1760_LR circuit.jpg

Use Laplace transforms to show:

2163_laplace transform.jpg

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

1511_LCR circuit.jpg

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

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M92701

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