Solving $f'(x)=f(x+1)$
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$
4178
Solve $f(x)f(2x^2) = f(2x^3+x)$
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
157504
What type of differential equation is $f'(x) = f(x/2)$ and how do you solve it?
30204
Prove that $f'(0)$ exists and $f'(0) = b/(a - 1)$
8854
Prove $f $ is identically zero if $f(0)=0$ and $|f'(x)|\le|f(x)|$
151958
How to show $f'(0)$ exist and is equal to $1$?
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
121455
$f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$
104263
How to show that $f'(x)<2f(x)$
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 $f(t)=c\cdot e^t$.
67565
If $\int^x_0 f (t) dt =x+ \int^1_x t f (t) dt$, find value of $f(1)$
36302
How to solve differential equations of the form $f'(x) = f(x + a)$
99917
What function satisfies $F'(x) = F(2x)$?
28286
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
101778
Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
134871
Using definition of derivative to differentiate $f(x)= \sqrt{x}+1$