**1.Linearity Property:-**

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we know that Laplace Transform of a signal is .

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. .

**2.Time-shifting Property:-**

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we know that .

. Let

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from the above equation forms a Laplace Transform pair with .

**3.Frequency-shifting Property:-**

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we know that .

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from the above equation forms a Laplace Transform pair with .

**4. Differentiation in time-domain:-**

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we know that inverse Laplace Transform .

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from the above equation forms a Laplace Transform pair with

Similarly .

**5.Differentiation in S-domain:-**

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we know that .

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from the above equation forms a Laplace Transform pair with .

**6. Time-reversal property:-**

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we know that .

. Let , , .

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from the above equation forms a Laplace Transform pair with .

**7. Time-Scaling property:-**

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we know that .

. Let , , .

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**8. Convolution in Time-domain:-**

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we know that .

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