Use the method of Exercise 11 6 6 to approximate the solution to the periodic Mathieu boundary value problem u (1 cosx)u 1, m(0) u(2n), w '(0) u '(2) In this case, the exact solution cannot be written in terms of elementary functions, 45 , ...

Use the method of Exercise 11.6.6 to approximate the solution to the periodic Mathieu boundary value problem

Question:

Use the method of Exercise 11.6.6 to approximate the solution to the periodic Mathieu boundary value problem -u" + (1 + cosx)u = 1, m(0) = u(2n), w'(0) = u'(2π). In this case, the exact solution cannot be written in terms of elementary functions, [45],