1) What is the following recursive set S? • 3 ∈ S • x,y ∈ S → (x + y) ∈ S

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1) What is the following recursive set S?

• 3 ∈ S

• x,y ∈ S → (x + y) ∈ S

2)  Consider the following recursive set S ⊂Z×Z. Give an example of a pair of integers a,b that is not in the set S.

• (3,5) ∈ S

• (x,y) ∈ S → (x + 2,y) ∈ S

• (x,y) ∈ S → (y,x) ∈ S

• (x,y) ∈ S → (−x,y) ∈ S

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