In the most basic words, slope fields are used to visualize the
solution curves of the given differential equations. In other
words, it is the graphical representation of the
differential equation.
Some Real Life
Applications :
- can be used to model predator-prey interactions and predict how
the growth of the prey population will change (that is increase or
decrease) based on varying levels of predator populations.
- can be used to model the population growth over a period of
time, that is over population, and the effect of external factors
on population.
- can be used to monitor the spread of diseases within the human
population, using a model based on susceptible, recovered and
infected.
- can be used to calculate the growth rate of bacteria in a
culture, how the population grows, and at what time the population
reaches full potential.