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exact differential equation

هموگش ِ دگرسانهای ِ رزین

hamugeš-e degarsâneyi-ye razin

Fr.: équation différentielle exacte

A → differential equation composed of
→ continuous
→ differentiable functions for which certain conditions
are fulfilled. The equation M(x,y)dx + N(x,y)dy = 0 is called exact if
M(x,y) and N(x,y) are continuous differentiable functions
for which the following relationship is fulfilled:
∂M/∂y = ∂N/∂x, and ∂M/∂y
and ∂N/∂x are continuous in some region.