Answer: Periodic ForcingTerms. In this chapter we are concerned mainly with the use of
Chapter 10, Problem 15(choose chapter or problem)
Periodic ForcingTerms. In this chapter we are concerned mainly with the use of Fourier series to solve boundary value problems for certain partial differential equations. However, Fourier series are also useful in many other situations where periodic phenomena occur. 13 through 16 indicate how they can be employed to solve initial value problems with periodic forcing terms.Find the formal solution of the initial value problemy + 2y = f(t), y(0) = 0, y(0) = 0,where f is periodic with period 2 andf(t) =1, 0 < t < ;0, t = 0, , 2;1, < t < 2.See 1.
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