Solve for u 3u = 78 Simplify your answer as much as possible.
2 answers:
You might be interested in
The particular quadratic solution to the ODE is found as follows:
Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:
so that
is a characteristic solution to the ODE, and the general solution would be
Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:
so that
Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
, where
= Temperature after t hours.
= Temperature of surrounding environment,
= Time constant.
Upon substituting our given values in Newton's cooling law, we will get:
To find the temperature at 4:00 pm, we will substitute in our formula as:
Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.