Example 5-6-9 - Maple Help

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Chapter 5: Applications of Integration



Section 5.6: Differential Equations

Example 5.6.9



 Obtain the general solution of the differential equation , where $u\left(t\right)$ represents the temperature of a body in thermal contact with its surroundings at a fixed temperature ${u}_{s}$. This equation, sometimes called Newton's law of cooling, simply states that the rate of change of temperature of the body is proportional to the difference in temperature between the body and its surroundings.







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