# Differential Equations

## What are slope field?

Have you heard of a slope field? If not, lets find out!

## TASK-1

Enter the following in Input bar (one by one - keep hiding previous function after inputting new function)
slopefield(-1)
slopefield(1)
slopefield(0.5)

## TASK-2

Hiding all slope field illustrations except slopefield(-1), now using the above applet, change the value of slider o and observe what you see.
Can you infer from given information what is the relationship between the line and the slopefield diagram?

## TASK-3

Now enter in Input bar:
dy/dx=-1
What do you get?
What is the difference between this new line and the slopefield values?

## TASK-4

Enter the following in Input bar:
slopefield(-1,5)
slopefield(-1,10)
What is the difference?

## DEFINING THE SLOPEFIELD

Can you now define what is a slopefield?

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