Euler's Method is a method for

numerically

approximating values of a

function, given its

derivative (dy/dx) and a

point (x, y) to begin with. It is especially useful when the

derivative expression contains y's that may be otherwise difficult to resolve with

integration.

Begin by choosing dx; the smaller the dx, the more accurate the result, but the more numerous the steps. The initial x and y are the coordinates of the given point.

At each step, calculate dy/dx with the current x and y, multiply by dx, and add this to the current y to find the next y-value; the next x-value is the current x plus dx. Iterate as often as necessary until you reach the x for which you wish to calculate the y-value.