Introduction
It was formulated by Sir Isaac Newton.
The equation is as follows
dT/dt ∝ (T-T_r)
where T is temperature of body at time t
T_r is room temperature
The equation can be further simplified and integrated and written as
T(t) = T_e + (T_o - T_e)e^(-kt)
where T(t) is temperature of the body at time t
T_e is room temperature
and T_o is temperature of body at time=0
We can see that the Newton's Law of cooling is also a first order differential equation.
The equation can be solved by separation of variables and then integration(As it is a first order separable differential equation)