query: $f(x^2+yf(x))=xf(x+y)$.Find f
positive_passages.docid: 17175
positive_passages.text: Problem in solving functional equation $f(x^2 + yf(x)) = xf(x+y)$
negative_passages.docid: 29647
negative_passages.text: Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
negative_passages.docid: 153942
negative_passages.text: Solution of functional equation $f(x+y)=f(x)+f(y)+y\sqrt{f(x)}$
negative_passages.docid: 125788
negative_passages.text: A function with a property $f(x+y)=f(x)f(y)$
negative_passages.docid: 71127
negative_passages.text: How do I find $f(0)$, $f'(0)$, and $f'(x)$ given $f(x+y)=f(x)+f(y)+x^2y+xy^2$ and $\lim_{x\to0}\frac{f(x)}{x}=1$?
negative_passages.docid: 6680
negative_passages.text: Solve for all possible functions f: $|f(x)-f(y)|=2|x-y|$.
negative_passages.docid: 103934
negative_passages.text: Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$
negative_passages.docid: 13248
negative_passages.text: How to obtain $f(x)$, if it is known that $f(f(x))=x^2+x$?
negative_passages.docid: 133333
negative_passages.text: Find $f(x)$ for $f(f(x))=\sin x$
negative_passages.docid: 50111
negative_passages.text: non-continuous function satisfies $f(x+y)=f(x)+f(y)$
negative_passages.docid: 142873
negative_passages.text: What does the function f: x ↦ y mean?
negative_passages.docid: 44670
negative_passages.text: Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$
negative_passages.docid: 59063
negative_passages.text: $f(f(x))=f(x)$ question
negative_passages.docid: 52858
negative_passages.text: Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
negative_passages.docid: 49705
negative_passages.text: Is $f(x,y)=(x+2y+y^2+|xy|, 2x+y+x^2+|xy|)$ differentiable?
negative_passages.docid: 109942
negative_passages.text: Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
negative_passages.docid: 144090
negative_passages.text: How to solve the functional equation $f\left(x^2+f(y)\right)=y+f(x)^2$