NATIONAL OPEN UNIVERSITY OF NIGERIA
14/16 AHMADU BELLO WAY, VICTORIA ISLAND, LAGOS
SCHOOL OF SCIENCE AND TECHNOLOGY
MARCH/APRIL 2014 EXAMINATION
COURSE CODE: MTH 302
COURSE TITLE: ELEMENTARY DIFFERENTIAL EQUATION II
TIME ALLOWED: 3 HOURS
INSTRUCTION: ANSWER ANY 4 QUESTIONS
1.(a) Solve the differential equation , near the ordinary point 10 marks
(b) Solve the differential Euler ‘s equation of 7 ½ marks
2.(a) Prove that 10 marks
(b) Find the 7 ½ marks
3.(a) Solve the differential equation about the ordinary point 10 marks
(b) Find the series solution of the differential equation 7 ½ marks
4.(a) Find the differential equation 10 marks
(b) Find the initial value problem of equation 7 ½ marks
5.(a) Find the general solution of the differential equation 10 marks
(b) Find the boundary value problem of equation 7 ½ marks
6.(a) Construct the Fourier series over interval for the function defined by 10 marks
(b) Find a Fourier sine series for on 7 ½ marks
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