MATH 401 Midterm: MATH 401 2016 Winter Test 2

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9 Jan 2019
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Math 401 : final exam, april 13th 2017. No lecture notes, no textbooks, no calculators or electronic devices of any kind. If you have many additional sheets of paper, number them. At the end of the exam, make sure you slide them in this booklet: take a couple of minutes to read the whole exam rst and pay attention to the tips. Consider the ode boundary value problem for u(x), 0 x , r, 0, de ned as follows: (1) (2) u + u = f (x) u (0) = 1. Find this solvability condition: (2pts) for = 0, formulate the problem a modi ed green"s function gx(z) solves, solve it and give the expression of gx(z). Tip 1: considering the following 1d ode bvp: lu = a0u + a1u + a2u = f , x0 < x < x1,