# Direction Field

- Author:
- trieulle

## Investigate the Direction Field of a first order ODE

(1) Click "

**Show Direction Field**" to sketch the direction field of the differential equation. When the direction field is shown, click on the "**initial point**" to sketch the graph of the solution passing through the point. Drag the initial point to move it to a different location. (2) Click "**Test Solution by Graph**" to sketch the graph of the function y(t). Move the red segment along to graph. If the segment*to the graph then the graph*__is always tangent__*. Otherwise, the graph does not represent a solution.*__does represent a solution__