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1) a) Let x,y ER, g(x, y), j = h(x, y), with g, h E C1(R2). Show that if 9x + hy > 0 in

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1) a) Let x,y ER, g(x, y), j = h(x, y), with g, h E C1(R2). Show that if 9x + hy > 0 in an annular region A, (or if 9x + hy > 0 in an annular region A) then there is at most one closed orbit of the differential equation which lies entirely in A. 1) a) Let x,y ER, g(x, y), j = h(x, y), with g, h E C1(R2). Show that if 9x + hy > 0 in an annular region A, (or if 9x + hy > 0 in an annular region A) then there is at most one closed orbit of the differential equation which lies entirely in A

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