Calculus/Euler's Method

Euler's Method of Approximating Curves

Euler's Method is a method for estimating the value of a function based upon the values of that function's first derivative.

The general algorithm for finding a value of $y=f(x)$ is:

$y_{n+1}=y_n+\mathrm{\Delta }{x}_{step}\cdot f^{\prime }(x_n,y_n)$

Examples

The easiest way to keep track of the successive values generated by the algorithm is to draw a table with columns for $n,x_n,y_n,y_{n+1}$.