Quiz Prep - Heating and Cooling
Find the general solution of the heating/cooling equation:
$$
T' = -h(T-Q),
$$
where $T=T(t)$ represents temperature as a function of time and $h$ and $Q$ are constants.
Now, what is the solution if $Q=2$, $h=3$, and $T(0)=1$? Sketch a graph of $T(t)$. What is
$$
\lim_{t\to\infty} T(t)?
$$
Comments