Young
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1,906
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Next privilege 2,000 Rep.
 Apr10 comment Find $f(x)$ given that: $f'(x)=\frac{f(x)-x}{f(x)+x}$ $f(x)f'(x)+xf(x)-f(x)+x=0$, using Integration by parts Apr10 asked Find $f(x)$ given that: $f'(x)=\frac{f(x)-x}{f(x)+x}$ Apr9 revised Find that $\lim_{a\to \infty}a^3 f(a)=?$ added 46 characters in body Apr9 comment Find that $\lim_{a\to \infty}a^3 f(a)=?$ $A(a,a^2)$, $B(b,b^2)$ and $\overline{AB}=1$ Apr9 asked Find that $\lim_{a\to \infty}a^3 f(a)=?$ Apr9 accepted $f \colon \mathbb{R} \rightarrow \mathbb{R}$, $f$ is continuous , and $f(x+1)+f(x)=x^2$ Apr9 asked $f \colon \mathbb{R} \rightarrow \mathbb{R}$, $f$ is continuous , and $f(x+1)+f(x)=x^2$ Mar27 accepted Show that $\dbinom{2^{n}-1}{2^{n-1}}$ is an odd number Mar27 asked Show that $\dbinom{2^{n}-1}{2^{n-1}}$ is an odd number Mar24 accepted $\binom{2^{n+1}}{2^{n}}(n\in\mathbb{N})$ is not a multipleof four Mar24 asked $\binom{2^{n+1}}{2^{n}}(n\in\mathbb{N})$ is not a multipleof four Mar21 accepted Show that $\binom{2n}{n}$ is an even number, for positive integers $n$. Mar21 comment Show that $\binom{2n}{n}$ is an even number, for positive integers $n$. sorry! $\dbinom{2n}{n} \text{is even number}$ Mar21 revised Show that $\binom{2n}{n}$ is an even number, for positive integers $n$. deleted 19 characters in body Mar21 asked Show that $\binom{2n}{n}$ is an even number, for positive integers $n$. Mar20 accepted Show by induction: $\frac{a_{2n+4}}{a_{n+2}}=\frac{a_{2n+2}}{a_{n+1}}+\frac{a_{2n}}{a_{n}}$ Mar19 asked Show by induction: $\frac{a_{2n+4}}{a_{n+2}}=\frac{a_{2n+2}}{a_{n+1}}+\frac{a_{2n}}{a_{n}}$ Mar18 accepted Show that there exists $a\in[0,1]$ such that $\frac{f''(a)}{f(a)}>0$ Mar18 asked Show that there exists $a\in[0,1]$ such that $\frac{f''(a)}{f(a)}>0$ Mar1 accepted Find $f(x)$ satisfy $f(2x)=2f(x)+x$