is the same as .
Changing to differential form . Can you integrate those?
Newton's law of cooling leads to a mathematical model of the cooling of a hot cup of coffee. The temperature of the coffee at any time is given by the solution of the following differential equation
Find the general solution of the differential equation
Find the particular solution of the differential equation if initially, the temperature of the coffee is 83 degrees.
Find the temperature of the coffee when t = 4.3
How do I do this?
then it's obvious you are ill prepared to tackle this problem ... here is a link for a place to start
Indefinite Integrals Part 1 | Khan Academy Calculus Lecture