Newtons law of cooling leads to a Mathematical model of a hotcup of coffee. The temperature T of the coffee at any time t isgiven by the solution of the following differential equation.
dT/dt +0.4T-8.4=0
1. find the general solution of the differentialequation.
2. find the particular solution of the differential equationif initially the temperature of the coffee is 81 degrees.
3. find the temperature of the coffee when t =2.5.