UNIVERSITY OF ENERGY AND NATURAL RESOURCES, SUNYANI
SCHOOL OF SCIENCES
DEPARTMENT OF MATHEMATICS AND STATISTICS
BSc(Computer, Civil, and Mechanical Engineering)
Level 200 End of Second Semester Examination 2019/2020
MATH 204 : Differential Equation and Applications
Assignment 2
August 4, 2020 Time: 5 days (August 9, 2020)
INDEX NUMBER:
PROGRAMME:
INSTRUCTIONS
? Attempt all questions.
? Begin each question on a fresh page.
? Take photograph of your work, compile it in a pdf form and submit latest before 12:00pm
of the given duration above through the email: math204de@gmail.com
D. Gyamfi Page 1 of 2
1.
(a) [8 marks]Mr. Andoh has a savings account with first deposit of GH ¢1200 and
afterwards deposits GH ¢56 a week. Compute the value of the account at time
t > 0 assuming the bank pays 8? interest compounded without a pause.
(b) [8 marks]Solve the initial value Problem dN dt
= ?(N ? N 2
q ) N(0) = N0, where
?, q are positive. Hence or otherwise, find the solution of the Verhulst model
when t ??
(c) [2 marks]Find the Wronskian of a given set {y1,y2} of solutions of
(1 ?x2)y?? ? 2xy? + ?(? + 1)y = 0 when W(0) = 1
END OF SECOND SEMESTER EXAMINATION
D. Gyamfi Page 2 of 2
