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In this article, we study differential equations of the form $y'=sum A_i(x)y^i/sum B_i(x)y^i$ which can be elliptic, hyperbolic, parabolic, Riccati, or quasi-linear. We show how rational solutions can be computed in a systematic manner. Such results are most likely to find applications in the theory of limit cycles as indicated by Gine et al [4].