Slope Field Visualizer
A slope field (sometimes called a direction field) is a graphical representation of the general solutions to a first-order differential equation with the form: .
- Edit the differential equation in the input box at the top. The function you input will be shown in blue underneath as
- The Density slider controls the number of mini-tangent segments.
- The Length slider controls the length of the segments.
- Adjust and to define the limits of the slope field.
- Check the Solution boxes to draw curves representing numerical solutions to the differential equation.
- Click and drag the points A, B, C and D to see how the solution changes across the field.
- Change the Step size to improve or reduce the accuracy of solutions (0.1 is usually fine but 0.01 is better). If anything messes up....hit the reset button to restore things to default.