You are Here: Home >< Maths

Taylor / Forward & Backward Euler series watch

1. For the function y = e^-x cos2 x work out the value of
dy/dx at x =1 using
(a) forward Euler approximation,
(b) backward Euler approximation,
(c) central difference approximation.

Use a step size of (i) delta x = 0.1 and (ii) delta x = 0.01.

So I know the formula for the Forward Euler is

But don't know what the next steps would be?
Thank you

2. Plug in values for
3. (Original post by SimonM)

Plug in values for
Thanks, how do I know what the values for are ?
4. (Original post by mh1985)
Thanks, how do I know what the values for are ?
SimonM's post is assuming you're looking for the value of dy/dx at x=0, and needs modifying for your question.

Edit: where f is your function e^-x cos2 x.

Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: December 30, 2012
Today on TSR

Exam Jam 2018

Join thousands of students this half term

Poll
Useful resources

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

How to use LaTex

Writing equations the easy way

Study habits of A* students

Top tips from students who have already aced their exams

Chat with other maths applicants