All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math > Calculus
Find a Few Functions (Posted on 2018-04-15) Difficulty: 3 of 5
Find solutions for f(x) and g(x), such that:

(1): {f(x) + f'(x)}^2 = 1 + f(2x)

(2): {g(x) + g'(x)}^2 = 2*(g(x) + g(2x))

No Solution Yet Submitted by Larry    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips Corrected version of Part (2) Comment 3 of 3 |
(2): Should be
{g(x) + g'(x)}^2 = 2*{(g(x))^2 + g(2x)}

Again, I apologize for the mistake in the original statement of the problem.

  Posted by Larry on 2018-04-16 21:34:26
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information