At time t = 0 minutes, the temperature of an object is 140°F. The temperature of the object is changing at the rate given by the differential equation

(a) Use a graphing utility and Euler’s Method to approximate the particular solutions of this differential equation at t = 1, 2, and 3. Use a step size of h = 0.1.

(b) Compare your results with the exact solution y = 72 + 68e^-t/2.

(c) Repeat parts (a) and (b) using a step size of h = 0.05. Compare the results.

Transcribed Image Text:

dy dt || (y-72). 一 2