Newton's Law of cooling, which also can be applied to heating problems, states that "the time rate e change of the temperature of a body is proportional to the temperature difference between the bor and its surrounding medium." If a tank of water has a temperature of 70° F and the air temperature O F. After 35 minutes the temperature of the tank is 45° F. Assume: L: temperature of the body and Tm : temperature of the surrounding medium. (i) Formulate a differential equation to express the previous system. (ii) Solve this first order differential equation using Laplace Transform.
Newton's Law of cooling, which also can be applied to heating problems, states that "the time rate e change of the temperature of a body is proportional to the temperature difference between the bor and its surrounding medium." If a tank of water has a temperature of 70° F and the air temperature O F. After 35 minutes the temperature of the tank is 45° F. Assume: L: temperature of the body and Tm : temperature of the surrounding medium. (i) Formulate a differential equation to express the previous system. (ii) Solve this first order differential equation using Laplace Transform.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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