Crosslinked compositions formed from water-insoluble copolymers are disclosed. These compositions are copolymers having a bioresorbable region, a hydrophilic region and at least two cross-linkable functional groups per polymer chain. Crosslinking of these polymers can be effected in solution in organic solvents or in solvent-free systems. If crosslinking occurs in a humid environment, a hydrogel will form. If crosslinking occurs in a non-humid environment, a xerogel will form which will form a hydrogel when exposed to a humid environment and the resulting crosslinked materials form hydrogels when exposed to humid environments. These hydrogels are useful as components in medical devices such as implantable prostheses. In addition, such hydrogels are useful as delivery vehicles for therapeutic agents and as scaffolding for tissue engineering applications.