Direction Fields for Differential Equations

y' = a (y - b)

y' = (y + a) (y - b)

y' = -(y + a) (y - b)

y' = -a + b t - y

y' = -a t + b -

2

y

a

1

b

1

This Demonstration lets you change two parameters in five typical differential equations. Observe the changes in the direction field and long-term behavior of the system. Notice the changes in both the lines of equilibrium and the direction of the field.