New posts in Functional Equations

Help in solving a simple functional equation

Find function $f(x)$ that satisfying differential relation

Find function $f$ given $f(x+1) - f(x) = \frac{1}{x^2}$

Find all functions such that $f(x^2+y^2f(x))=xf(y)^2-f(x)^2$

Functional equation related to $\sin$: $f(x+y)=f(x)f'(y)+f'(x)f(y)$

Functional Equation $f(x+y)-f(x-y)=2f'(x)f'(y)$

A function satisfying $f \left ( \frac 1 {f(x)} \right ) = x$

What is this property to be called?

Solutions of $f(x+y^{n})=f(x)+[f(y)]^{n}$.

Finding all differentiable $f: [0,+\infty) \rightarrow [0,+\infty)$ such that $f(x) = f'(x^2)$ and $f(0)=0$