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Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>The rate at which the temperature is dropping is degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:
Applying <em>separation of variables</em>, we find the solution as follows:
In which T(0) is the temperature at sundown.
In 3 hours, the change will be of:
Hence:
The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.
You can learn more about differential equations at brainly.com/question/24348029
Answer:
The solution to this question can be defined as follows:
Step-by-step explanation:
Please find the complete question in the attached file.
now for given values:
In point b:
Its
spectral radius is less than 1 hence matrix is convergent.
In point c:
after solving the value the answer is
:
