perplexus.info :: Calculus : Find a Few Functions

Find a Few Functions (Posted on 2018-04-15)

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)

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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

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