Problem 59676. Write a code to implement the improved Euler's method to integrate a simple function
Euler's method approximates the solution to a differential equation as
where
. It's possible to improve on Euler's method by doing the following:
The challenge is to write a code that can take some arbitrary function, f(t,x), and use Euler's improved method to integrate over N equally-spaced points (
equal intervals) between times
and
. You must implement the boundary condition
.
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