How To Solve Almost Exact Differential Equation

The general form of an exact differentiatial Equation is Mdx+Ndy=0
Where M = ∂F/∂x and N = ∂F/∂y
Given that ∂M/∂y= ∂N/∂x
Some times the equations above may appear to be non-exact differentiatial Equation when ∂M/∂y≠∂N/∂x

In that case, we have to multiply the equation by some factor, a function μ(x, y), which will make it exact differentiatial Equation.

When this function μ(x, y) exists it is called an integrating factor. It will make valid the following expression:
∂(μ·M)/∂y= ∂(u·N)/∂x

Видео How To Solve Almost Exact Differential Equation канала Tambuwal Maths Class