Verify directly that y = 12 + Ce 3t satisfies y' = 3(y 12) for all

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Verify directly that y = 12 + Ce−3t satisfies y' = −3(y − 12) for all C. Then find the two solutions satisfying y(0) = 20 and y(0) = 0, and sketch their graphs.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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