y′ = f(x, y)
y(xo) = yo
We decide upon what interval, starting at the initial condition, we desire to find the solution. We chop this interval into small subdivisions of length h. Then, using the initial condition as our starting point, we generate the rest of the solution by using the iterative formulas:
xn+1 = xn + h
yn+1 = yn + h f(xn, yn)
To find the coordinates of the points in our numerical solution.