  The Noether symmetry analysis is applied for the study of a multifield
cosmological model in a spatially flat FLRW background geometry. The
gravitational Action Integral consists of two scalar fields, the Brans-Dicke
field and a second scalar field minimally coupled to gravity. However, the two
scalar fields interact in the kinetic terms. This multifield has been found to
describe the equivalent of hyperbolic inflation in the Jordan frame. The
application of Noether's theorems constrain the free parameters of the model
that conservation laws exist. We find that the field equations form an
integrable dynamical system and the analytic solution is derived.
