Find the points on the curve 4x3 - 3x + 5 at which the equation of the tangent is parallel to the x-axis.
Solve:
Given equation is,
We can rewrite this equation as follows,
...(i)
Comapring this equation with
We get, P = - csc(x), Q =
I.F. =
=
=
I.F. =
solution of the linear differential equation,
y.IF =
=
= x + c
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.