Week 8

Tutorial 8: Laplace Transform 1

Question PDF

TUTORIAL 8 LAPLACE TRANSFORM 1.pdf

152.4KB

My solution

Week8.pdf

2383.2KB

Using the definition of Laplace transform, find the transform . Show the details of your integration.

ii.

iii.

iv.

vi.

vii.

viii.

👉

Solution

Question (i)

Question (ii)

Question (iii)

Question (iv)

Let

Question (v)

Question (vi)

Question (vii)

Question (viii)

Referring to the Laplace transform table, find the transform . Show the modification details that you need to do before the transform can be done.

ii.

iii.

iv.

vi.

vii.

viii.

👉

Solution

Question (i)

Question (ii)

Question (iii)

Question (iv)

Question (v)

Question (vi)

Question (vii)

Question (viii)

Given , find . Show the details of your work, including the partial fraction expansion if necessary.

ii.

iii.

iv.

vi.

vii.

viii.

ix.

👉

Solution

Question (i)

Question (ii)

Question (iii)

Question (iv)

Question (v)

Let ⇒

Question (vi)

Question (vii)

Let ⇒

Question (viii)

Question (ix)

Question (x)

Let ⇒

(a) Using the Laplace transform definition, evaluate the Laplace transform for the following function:

(b) Prove your answer in part (a) by expressing the functions using unit step function and find by referring to the Laplace transform table.

👉

Solution

Question (a)

Question (b)

Using the theorem , find if . You are not allowed to use partial fraction expansion.

👉

Solution