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The IVP y′ = 2t(y − 1), y(0) = 0 has values as follows: y(0.1) =...

The IVP

y′ = 2t(y − 1), y(0) = 0

has values as follows:
y(0.1) = −0.01005017,
y(0.2) = −0.04081077,
y(0.4) = −0.09417427.
Using the Adams-Moulton method of order 4, compute y(0.4).

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