Exact and homogenous differential equation

We will talk about a type of ODE called the exact differential equation If the differential equation of the type $$\frac{d y}{d x}=f(x, y)$$ can be written in the form of $$M(x, y) d x+N(x, y) d y=0$$ and $$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x} $$ then this form is called exact. The following examples clarify […]