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How To Solve Almost Exact Differential Equation
Автор: Tambuwal Maths Class
Загружено: 2020-12-23
Просмотров: 14615
Описание:
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
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