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What is the vital mathematical consistency condition (exactness test) required f...

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What is the vital mathematical consistency condition (exactness test) required for a differential equation to be classified as exact?

dM/dx = dN/dy

∂M/∂y + ∂N/∂x = 0

∂M/∂x = ∂N/∂y

∂M/∂y = ∂N/∂x

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