How to solve $f'(x)=f(x+1)$?
36302
How to solve differential equations of the form $f'(x) = f(x + a)$
109561
Find $F'(x)$ if $F(x) = \displaystyle \int_{0}^x xf(t)dt$.
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
76580
If $f(\frac{1}{n})=0$ all $ n\to \mathbb{Z^{+}}$ then find $ f'(0)$?
133682
Prove that if $f(t)$ satisfies $f(t)=f'(t)$, then $f(t+s)=f(t)f(s)$ for all $t,s\in R$ without using the fact that $f(t)=c\cdot e^t$.
74583
Prove that $f'(0)=L$.
8854
Prove $f $ is identically zero if $f(0)=0$ and $|f'(x)|\le|f(x)|$
21879
Show that if $\lim_{x\to a}f'(x) = A$ then $f'(a)$ exists and equals A
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
86367
Computing $f(x)$ if $\int_1^{xy} f(t) dt = y \int_1^x f(t) dt + x\int_1^y f(t) dt$ and $f(1) = 3$
94944
Differentiable functions satisfying $f'(f(x))=f(f'(x))$
75092
Initial value problem $x'=x^{2/3}$
12072
Analytic solution for $x=\ln(x+1)$
114307
Are Exponential and Trigonometric Functions the Only Non-Trivial Solutions to $F'(x)=F(x+a)$?
32506
Prove $kf(x)+f'(x)=0 $ when conditions of Rolle's theorem are satisfied .