Direction Field
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 is always tangent to the graph then the graph does represent a solution. Otherwise, the graph does not represent a solution.