- #1

- 213

- 0

- Thread starter ehabmozart
- Start date

- #1

- 213

- 0

- #2

pasmith

Homework Helper

- 1,966

- 599

An equilibrium solution is a solution which is a constant. Since the derivative of a constant is zero, a constant solution [itex]v(t) = v_0[/itex] of [itex]\dot v(t) = f(v(t))[/itex] must satisfy [itex]f(v_0) = 0[/itex].

Thus any equilibrium solution of [itex]\dot v = 9.8 - \frac15 v[/itex] must satisfy [itex]9.8 - \frac15 v = 0[/itex], ie. [itex]v(t) = 49[/itex].

- Last Post

- Replies
- 7

- Views
- 3K

- Last Post

- Replies
- 0

- Views
- 2K

- Last Post

- Replies
- 6

- Views
- 2K

- Replies
- 3

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 911

- Replies
- 2

- Views
- 726

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 2K