Find the points on the curve 4x3 - 3x + 5 at which the equation of the tangent is parallel to the x-axis.
The population of a town grows at the rate of 10% per year. Using differential equation, find how long will it take for the population to grow 4 times.
Let P0 be the initial population. Let, the population after t year be P.
of population [ given]
Integrating both sides,
...(i)
When t = 0 then, P = P0
C = ...(ii)
From equation (i) and (ii), we get
Given to find the time t taken to attain 4 times population.
0.6020 =
t = 6.020 years.