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May
19
accepted Find $f(x) $ given that: $f'(x)=\frac{f(x)-x}{f(x)+x}$
May
3
accepted Show that $\tan (nx) \neq 0$
May
2
asked Show that $\tan (nx) \neq 0$
Apr
10
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
Apr
10
asked Find $f(x) $ given that: $f'(x)=\frac{f(x)-x}{f(x)+x}$
Apr
9
revised Find that $\lim_{a\to \infty}a^3 f(a)=?$
added 46 characters in body
Apr
9
comment Find that $\lim_{a\to \infty}a^3 f(a)=?$
$A(a,a^2)$, $B(b,b^2)$ and $\overline{AB}=1$
Apr
9
asked Find that $\lim_{a\to \infty}a^3 f(a)=?$
Apr
9
accepted $f \colon \mathbb{R} \rightarrow \mathbb{R}$, $f$ is continuous , and $f(x+1)+f(x)=x^2$
Apr
9
asked $f \colon \mathbb{R} \rightarrow \mathbb{R}$, $f$ is continuous , and $f(x+1)+f(x)=x^2$
Mar
27
accepted Show that $\dbinom{2^{n}-1}{2^{n-1}}$ is an odd number
Mar
27
asked Show that $\dbinom{2^{n}-1}{2^{n-1}}$ is an odd number
Mar
24
accepted $\binom{2^{n+1}}{2^{n}}(n\in\mathbb{N})$ is not a multipleof four
Mar
24
asked $\binom{2^{n+1}}{2^{n}}(n\in\mathbb{N})$ is not a multipleof four
Mar
21
accepted Show that $\binom{2n}{n}$ is an even number, for positive integers $n$.
Mar
21
comment Show that $\binom{2n}{n}$ is an even number, for positive integers $n$.
sorry! $\dbinom{2n}{n} \text{is even number}$
Mar
21
revised Show that $\binom{2n}{n}$ is an even number, for positive integers $n$.
deleted 19 characters in body
Mar
21
asked Show that $\binom{2n}{n}$ is an even number, for positive integers $n$.
Mar
20
accepted Show by induction: $ \frac{a_{2n+4}}{a_{n+2}}=\frac{a_{2n+2}}{a_{n+1}}+\frac{a_{2n}}{a_{n}}$
Mar
19
asked Show by induction: $ \frac{a_{2n+4}}{a_{n+2}}=\frac{a_{2n+2}}{a_{n+1}}+\frac{a_{2n}}{a_{n}}$