Find a solution f to each of the following differential equations satisfying the given boundary conditions. (a)
Question:
(a) fʹ + f = 0; f(1) = 1
(b) fʹʹ + fʹ- 6f = 0; f(0) = 0, f(1) = 1
(c) fʹʹ - 4fʹ + 4f = 0; f(0) = 2, f(- 1) = 0
(d) fʹʹ - a2f = 0, a ≠ 0; f(0) = 1, f(1) = 0
(e) fʹʹ + 4fʹ + 5f = 0; f(0) = 0, f(π/2) = 1
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a By Theorem 1 fx ce x for some constant c We have 1 f1 ce 1 so c e Thus fx e 1x b T...View the full answer
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