Differential Equations
- Author:
- Muhammad Sohaib Ali
- Topic:
- Differential Equation, 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?