Question

Write two simple problems from your core subject which can be formulated mathematically as differential equation and difference equation.

Answer 1

The problems according to the requirements are

Problem 1:

A particle is moving in a straight line and its acceleration is given by  

   a = 2 t - 7

Find v (velocity) in terms of 't' if v = 10 m/sec , when  t = 0

Problem 2:

In a culture, bacteria increases at the rate proportional to the number of bacteria present. If bacteria are 100 initially and are doubled in 2 hours, find the number of bacteria present four hours later.