10. Newton’s law of cooling states that the temperature of an object changes at a rate...

10. Newton’s law of cooling states that the temperature of an object changes at a rate proportional to the difference between the temperature of the object an the temperature of its surroundings.
(a) Write a differential equation for the temperature of the object at any time.

b) State the dimensions of the constant of proportionality, and its SI units.
C) Plot the direction field for the DE and find the limiting behaviour of solutions. If this limit depends on the initial temperature T(0) explain.

pls include the direction fields. Thank you

Expert Solution

Colby Messinger answered 2 years ago

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