Engineering Mathematics 3 Worksheet 13
Chapter 3
Laplace Transform
The tutorial discussion questions are shown. Students are expected to work through them thoroughly.
17.
Solve the following IVPs using Laplace transform (see Examples 3.4.3 – 3.4.4).
(a)
𝑑𝑓
= 𝑈(𝑡 − 1)
𝑑𝑡
𝑓(0) = 3
Answer: 𝑓(𝑡) = 3 +
EMA2003 Engineering Mathematics 3
(𝑡 − 1)𝑈(𝑡 − 1)
Page 1
(c)
𝑑𝑓
= 𝑡 𝑈(𝑡 − 2)
𝑑𝑡
𝑓(0) = 4
Answer: 𝑓(𝑡) =
EMA2003 Engineering Mathematics 3
2(𝑡 − 2) + (𝑡 − 2)
𝑈(𝑡 − 2) + 4
Page 2