assignment 1

1
School of Chemistry & Chemical Engineering Assignment 1 part 2 (26 marks) Computer Aided Design & Simulation (CHE 2018 Level 2 Professor E.V. Rebrov) ________________________________ 5. Solve by Laplace transform method: t dt dy 2 5 y(0) = 1 (8 marks) 6. Determine the Laplace transform: (a) t e ) t cos( ) t ( y 4 3 2 5 (3 marks) (b) ) t sin( ) t ( t ) t ( y 2 2 1 (3 marks) 7. Determine the inverse Laplace transform of the function: (a) 100 200 2 s ) s ( F (4 marks) (b) 2 2 1 2 s s s ) s ( F (4 marks) (c) 3 2 1 3 2 16 s s s s s ) s ( F (4 marks) Submission deadline is Monday 21 October 2013

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Assignment 1 Part2 CHE2018!13!14

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Page 1: Assignment 1

School of Chemistry & Chemical Engineering

Assignment 1 part 2 (26 marks) Computer Aided Design & Simulation

(CHE 2018 Level 2 – Professor E.V. Rebrov)

________________________________

5. Solve by Laplace transform method:

tdt

dy25 y(0) = 1 (8 marks)

6. Determine the Laplace transform:

(a) te)tcos()t(y 4325 (3 marks)

(b) )tsin()t(t)t(y 221 (3 marks)

7. Determine the inverse Laplace transform of the function:

(a) 100

2002

s

)s(F (4 marks)

(b) 22

12

ss

s)s(F (4 marks)

(c) 32

1

3

2

16 s

s

ss

s)s(F

(4 marks)

Submission deadline is Monday 21 October 2013