Exact Differential Equations
M(x,y)dx + N(x,y)dy = 0 is exact when partial M/partial y = partial N/partial x, meaning the left side is the total differential of a potential function F(x,y); solutions are the level curves F(x,y) = C. F is recovered by integrating M with respect to x and fixing the y-dependent remainder against N.
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M(x,y)dx + N(x,y)dy = 0 is exact when partial M/partial y = partial N/partial x, meaning the left side is the total differential of a potential function F(x,y); solutions are the level curves F(x,y) = C. F is recovered by integrating M with respect to x and fixing the y-dependent remainder against N.
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