We are examining solutions to equations of the form: dy/dx = f(x,y).

You can enter f(x,y) in the usual manner in the top white space, and choose the scale in the variables in the spaces below it.

Such an equation has one free parameter, which can be the value of y for a given x value or its derivative at some x value.

You can drag the red dot to the x and y values that set the y value, and choose the y value that produces the desired derivative, at x, if that is what you want.

The solutions obtained using three different rules for approximating the solution can be see if you check the appropriate boxes. When two, including the Runge Kutta rule agree, you can believe the indicated solution.

This tool uses JQWidgets extensively. Please verify their copyright.

Developed by Daniel Kleitman and Jean-Michel Claus.