  We present evidence for the coexistence of ferromagnetic metallic and charge
ordered insulating phases in strained thin films of
La$_{0.67}$Ca$_{0.33}$MnO$_3$ at low temperatures. Such a phase separated state
is confirmed using low temperature magnetic force microscopy and
magnetotransport measurements. This phase separated state is not observed in
the bulk form of this compound and is caused by the structural inhomogeneities
due to the non-uniform distribution of strain in the film. The strain weakens
the low temperature ferromagnetic metallic state and a charge ordered insulator
is formed at the high strain regions. The slow dynamics of the transport
properties of the mixed phase is illustrated by measurements of the long time
scale relaxation of the electrical resistance.
