## Related questions with answers

Question

At 1:00 pm one winter afternoon, there is a power failure at your house in Wisconsin, and your heat does not work without electricity. When the power goes out, it is $68^{\circ} \mathrm{F}$ in your house. At 10:00 pm, it is $57^{\circ} \mathrm{F}$ in the house, and you notice that it is $10^{\circ} \mathrm{F}$ outside. Assuming that the temperature, $T$, in your home obeys Newton's Law of Cooling, write the differential equation satisfied by $T$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

**a)**

The differential equation is

$\begin{align*} \dfrac{dT}{dt}&=-k(T-10)\\ \end{align*}$

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