Category:Exact Differential Equations
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This category contains results about Exact Differential Equations.
Let a first order ordinary differential equation be expressible in this form:
- $\map M {x, y} + \map N {x, y} \dfrac {\d y} {\d x} = 0$
such that $M$ and $N$ are not homogeneous functions of the same degree.
However, suppose there happens to exist a function $\map f {x, y}$ such that:
- $\dfrac {\partial f} {\partial x} = M, \dfrac {\partial f} {\partial y} = N$
such that the second partial derivatives of $f$ exist and are continuous.
Then the expression $M \rd x + N \rd y$ is called an exact differential, and the differential equation is called an exact differential equation.
Subcategories
This category has only the following subcategory.
E
Pages in category "Exact Differential Equations"
The following 2 pages are in this category, out of 2 total.