# Euler's method

## Homework Statement

Consider the initial value problem y' = f(t,y), y(t0) = y0
where f: R x R $$\rightarrow$$ R. An approximate solution to the problem can be found using Euler's method. This generates the approximation yi to f(ti) at ti = t0 + ih, i = 1,2,..., using the formula yi = yi-1 + hf(ti-1,yi-1). Implement Euler's method and then show that your implementation is correct.

## Homework Equations

Eulers method equation.

## The Attempt at a Solution

I am not sure exactly what it is asking. Is it asking for a numerical example or what?

LCKurtz
Homework Helper
Gold Member
If this is from a class, ask your teacher what it intended. As the problem is worded I might try something like

y' = x - y, y(0) = 1

and solve it with Euler's method and compare it with the actual solution. But I would ask.