df(x)/d(x)- f(x)/x = c for every x and c different from zero

econ

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I need to find any function f(x) such that

df(x)/d(x)- f(x)/x = c for every x

where df(x)/d(x) is the derivative of f(x) with respect to x and c is a constant different from zero.

Can you find a function f(x) or such function does not exist?
 
I need to find any function f(x) such that

df(x)/d(x)- f(x)/x = c for every x

where df(x)/d(x) is the derivative of f(x) with respect to x and c is a constant different from zero.

Can you find a function f(x) or such function does not exist?

What are your thoughts?

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