Find a particular solution of the differential equation (x + 1) dy
dx  = 2 e–y – 1,  given
that y = 0 when x = 0 15 The population of a village increases continuously at the rate proportional to the
number of its inhabitants present at any time If the population of the village was
20, 000 in 1999 and 25000 in the year 2004, what will be the population of the
village in 2009