  We use the recently developed Differential Equation Model for the reduced
electric quadrupole transition probability B(E2) for predicting its values for
a wide range of even-even nuclides almost throughout the nuclear landscape from
Neon to Californium. This is made possible as the principal equation in the
model, namely, the differential equation connecting the B(E2) value of a given
nucleus with its derivatives with respect to neutron and proton numbers
provides two different recursion relations, each connecting three different
neighboring even-even nuclei from lower to higher mass numbers and vice-verse.
These relations helped us to extrapolate from known to unknown terrain of the
B(E2) landscape and thereby facilitate its predictions throughout.
