ABSTRACT
In science, there are a variety of reasons for studying differential equations; almost all the elementary and numerous of the advanced parts of theoretical physics are mathematically posed in terms of differential equations. A differential equation is an equation that contains derivatives of an unknown function, which expresses the seek relationship. A partial differential equation contains several independent variables and hence the derivative(s) in the equation are partial derivatives. A solution (or integral) of a differential equation is the relation between the variables, not involving differential coefficients, which satisfies the differential equation. Bernoulli equations is a non-linear first-order equation, which can be reduced to a linear one by a substitution.
