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Consider the given universal set T and its subjects C, D and E
T = {0, 2, 4, 6, 8, 10, 12}
C = {4, 8,}
D = {10, 2, 0}
E = {0}
Find out
ii) D ∩ E
iii) C ∩ D ∩ E
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#k1=f(Tn, Xn), k2=f (Tn + H.Y,Xn + H.Y.k1) Xn+1=Xn + H(a.k1+ b.k2) Find a relation between Y,a and b so that the method is second order consistent.
Solution i) D ∩ E = {10, 2, 0} ∩ {0} = {0} ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
Solution
i) D ∩ E = {10, 2, 0} ∩ {0} = {0}
ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
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