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toán kỹ thuật,lê minh cường,dhbkhcm Hw5 Inverse Laplace Transform [1] Homework5 Inverse Laplace Transform Prob5 1 Find the Inverse Laplace transform of the following functions using the Table of Pairs[.]

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Hw5: Inverse Laplace Transform [1]

Transform

Prob5.1: Find the Inverse Laplace transform of the following functions using the Table of Pairs :

5

s

(s 1)

(s 4 8)

b) − +−s c) (s 122−8s 20+s+32) d) (4s 1223s 2+ +s+9)

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Transform

Prob5.2: Find the Inverse Laplace transform of the following functions using the Table of Pairs and the properties of the Laplace Transform :

2

s

s 4

s 3 2

s e−

s 2 5

s e−

− +

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Transform

Prob5.3: Find the Inverse Laplace transform of the following functions using the partial fraction :

2

s 6 8

2

3s 16

27 12s (s 4)(s 9)

(s 2s 2)(s 2 2)

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Transform

2

( 1)( 2)( 4)

a ) s+ s s−+ s−

Prob5.4: Find the Inverse Laplace transform of the following functions using the Heaviside expansion:

2

( 3)( 1)

b ) s s

s s

− +

1 ( 3)( 2 2)

d) s

s s s

−

2

c) s

s s

−

− +

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Transform

Prob5.5:

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