Question

The temperature of a certain deserted, unheated house is in degrees Fahrenheit at time in hours. If the outside temperature is (about the average autumn temperature in the Boston area), and it takes 24 hours for the temperature of the house to drop from to use Newton's law of cooling to write down a differential equation for the temperature of the house.

Answer 1

Answer: Hello attached below is the well written complete question

answer:

T = 40 + 30e^-0.0288t

Step-by-step explanation:

To( outside temperature ) = 40°F

T  = ?

k( thermal conductivity ) = constant

A( area of heat transfer) = constant

Hence Differential equation for the temperature of the house

T = 40 + 30e^-0.0288t

Attached below is the detailed solution of the problem