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July 27th, 2008, 10:25 AM   #1
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Solutions to exact equations

F(x,y) is a function.

F_x + F_y * y' = 0 is an exact equation.

F_x is the derivative with respect to x and F_y is the derivative with
respect to y. If I write it more clearly, it should appear like this:

dF/dx + dF/dy * dy/dx = 0

How can we prove that the only solutions are F(x, y) = c are the only
solutions to the exact equations?
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