A [b]slope field [/b](sometimes called a [i]direction field[/i]) is a graphical representation of the general solutions to a first-order differential equation with the form: [math]\frac{dy}{dx}=f(x,y)[/math]. [br]

[list][br][*]Edit the differential equation [math]f^{\prime}(x,y)[/math] in the input box at the top. The function you input will be shown in blue underneath as [math]dy/dx=f(x,y)[/math][br][/*][*]The Density slider controls the number of mini-tangent segments.[br][/*][*]The Length slider controls the length of the segments.[br][/*][*]Adjust [math]x_{min}, x_{max}, y_{min}[/math] and [math]y_{max}[/math] to define the limits of the slope field.[br][/*][*]Check the Solution boxes to draw curves representing numerical solutions to the differential equation.[br][/*][*]Click and drag the points A, B, C and D to see how the solution changes across the field.[br][/*][*]Change the Step size to improve or reduce the accuracy of solutions (0.1 is usually fine but 0.01 is better). [br]If anything messes up....hit the reset button to restore things to default.[br][/*][/list]