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bcjochim07
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Homework Statement
The theorem for a unique solution to a DE says: Let R be a rectangular region in the xy plane that contains the point (xo,yo). If f(x,y), which = dy/dx and the partial derivative of f(x,y) are continuous on R, then a unique solution exists in that region.
Question: Determine a region of the xy plane for which the given differential equation would have a unique solution.
dy/dx= x-y
dy/dx= f(x,y)= x-y ,so f(x,y) is continuous on all reals for x & y
then
[tex]\partial[/tex]f/[tex]\partial[/tex]y = -1
So this means that the solution is unique everywhere, right?