Final answer:
The given equation 1−xy−4xy⁵y=cos(x) is a differential equation of order 2.
Step-by-step explanation:
The given equation 1−xy−4xy⁵y=cos(x) is a differential equation.
To determine the order of a differential equation, we count the highest derivative term that is present in the equation. In this case, the highest derivative term is dx²-y².
Therefore, the order of the given differential equation is 2.