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: [email protected]

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