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Consider the equation y' = y2+y+2yt2+2tt2t4 a) Verify that both in = t2 and 'u = t2 + 1 are solutions. b) Given the item

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Consider the equation y' = y2+y+2yt2+2tt2t4 a) Verify that both in = t2 and 'u = t2 + 1 are solutions. b) Given the item above, what does the existence and uniqueness theorem imply about the solution y(t) that satises y(3) = 19/ 2? Remember to verify that the theorem can be applied

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