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?