To derive: The second order backward differentiation formula is y n + 1 = y n + ( 1 12 ) [ 4 y n − y n − 1 + 2 h f ( t n + 1 , y n + 1 ) ] .

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Chapter 8.4, Problem 16P

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To derive: The second order backward differentiation formula is yn+1=yn+(112)[4yn−yn−1+2hf(tn+1,yn+1)].

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