Inverse laplace Transform

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Week 2 EMATHCE

• Integral
• Differential
• Inverse Laplace
• LDE by Laplace transform

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Laplace Table -partial
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Intended Learning Outcomes

• Integral
• Differential
• Unit step function
• Graph of a piece wise and find the laplace
  transform
• Integrate laplace transform
• Inverse laplace transform by partial fraction
• LDE by Laplace transform

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Derivatives
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Laplace Transform of Derivative
Example
Use partial fraction
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Example of Derivatives
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Integrals
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Example of Laplace integrals
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Further Examples- Integral
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Electrical System Building Blocks
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Electrical Application problems

• Problem 1.
• Derive the transfer function shown below

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Example 1
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First shift theorem
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Example-First Shift Theorem
Example
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Unit step function
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Convolution theorem
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Laplace transform
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Laplace transform 3 unknowns
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Inverse Laplace
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Inverse Laplace
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Inverse laplace with partial fraction
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Further Properties of Laplace Transform
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