The Collaborative International Dictionary of English v.0.48:

Exude \Ex*ude"\, v. t. [imp. & p. p. Exuded; p. pr. & vb. n.
   exuding.] [L. exudare, exsudare, exudatum, exsudatum, to
   sweat out; ex out + sudare to sweat: cf. F. exuder, exsuder.
   See Sweat.]
   To discharge through pores or incisions, as moisture or other
   liquid matter; to give out.
   [1913 Webster]

         Our forests exude turpentine in . . . abundance. --Dr.
                                                  T. Dwight.
   [1913 Webster]