The differential equation below models the temperature of a 91°C cup of coffee in a 17°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. dy dt = − 1 53 (y − 17)\

Step-by-step explanation:

This differential equation is a first order linear differential equation with separable variables, whose solution is found as follows:

The solution of the differential equation is:

Where:

- Temperature, measured in °C.

- Time, measured in minutes.

The time when the cup of coffee has the temperature of 70 °C is:

the answer is mc^1-1jpeg