## FANDOM

17 Pages

Using an algorithm, Euler's method lets you take a first order differential equation

${{dy \over dx} = f(x,y), y_0 = x_0}$

and approximate points on a solution curve

## Algorithm

• Select a step size, (The smaller the step size, the more accurate the solution).
• Apply the iterative formula to find ${(x_n, y_n)}$ where, ${x_{n+1} = x_n + h, y_{n+1} = y_n +f(x_n, y_n)h}$
• Plot each point