Exact Differential Equation/Examples

Examples of Exact Differential Equation
This page gathers examples of exact differential equations of the first order:


 * $\map M {x, y} \rd x + \map N {x, y} \rd y = 0$

where there exists 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.