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if x'=F(x,y) and y'=G(x,y) how do i show that the vector field is lipschitz in (x,y) in the domain [(x,y)-(1,1)] <1

if x'=F(x,y) and y'=G(x,y) how do i show that the vector field is lipschitz in (x,y) in the domain [(x,y)-(1,1)]<1

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