From 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]
From The Collaborative International Dictionary of English v.0.48:
Exude \Ex*ude"\, v. i.
To flow from a body through the pores, or by a natural
discharge, as juice.
[1913 Webster]