Write down the de of motion of a particle moving under the influence of gravity and experiencing a resistive force.

The DE will be

Explanation:

We have to find differential equation under the influence of gravity and experiencing a resistive force

Let an object of mass m falling under the influence of gravity

So the force experience under gravity

Le the a resistive force of magnitude kv opposes this gravity force, here k is constant and v is velocity.

So net force -----eqn 1

So

We know that velocity is rate of change of position so , and acceleration is rate of change of velocity so

Putting all these value in eqn 1

causes

fossil fuels burn

cities become more industrialized

human population grows worldwide