as a function of x and y. y0 (float): The initial value for y. x0 (float): The initial value for x. step_size (float): The increment value for x. x_end (float): The final value of x to be calculated.

Euler's method is the ancestor of the two major families of IVP methods presented in this chapter. Before we describe them, though, we generalize the initial-value problem itself in a crucial way.