1. The problem statement, all variables and given/known data 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?