NATIONAL OPEN UNIVERSITY OF NIGERIA
Plot 91, Cadastral Zone, Nnamdi Azikwe Express Way, Jabi-Abuja
FACULTY OF SCIENCES
DEPARTMENT OF MATHEMATICS
July Examination 2017_1
Course Code: MTH422
Course Title: Partial Differential Equations
Credit Unit: 3
Time Allowed: 3 Hours
Total: 70 Marks
INSTRUCTION: ANSWER QUESTION ONE (1) AND ANY OTHER 4 QUESTIONS
(a) (i) Show that if is constant, then is a solution to the wave equation 5 marks
(ii) Show that is a solution of the Laplace’s equation
5 marks
(b) For constant, find the separated solution to heat equation
12 marks
(a) Find the solution of the equation 8 marks
(b) Solve the equation 4 marks
3. (a) Find the solution of the heat equation 7 marks
(b) Solve the boundary value problem 5 marks
4. (a) Solve the heat conduction equation for the boundary conditions and the initial condition 12 marks
5. Solve the one-dimension wave equation for the initial conditions are 12 marks
6. (a) Using the Lagrange method solve
6 marks
(b) Find the separated solution to 6 marks
You can get the soft copy for this course or the exam summary answers for this course from 08039407882
Check anoda sample below
