Solving $f'(x) = f(x+1) - f(x)$
23465
When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?
99917
What function satisfies $F'(x) = F(2x)$?
76311
$f'' + f =0$: finding $f$ using power series
114307
Are Exponential and Trigonometric Functions the Only Non-Trivial Solutions to $F'(x)=F(x+a)$?
23222
If $f(x) + f'(x) + f''(x) \to A$ as $x \to \infty$, then show that $f(x) \to A$ as $x \to \infty$
104263
How to show that $f'(x)<2f(x)$
2717
Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
59063
$f(f(x))=f(x)$ question
49794
Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$
116946
Ordinary differential equation $y'(t)=\sin(f(t,y))$
31685
Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
48592
Prove that $f'$ exists for all $x$ in $R$ if $f(x+y)=f(x)f(y)$ and $f'(0)$ exists
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
42699
Solve for $f(x)$ if $f(f(x))=6x-f(x)$
21339
IF $f(x) = \int_{0}^{\phi (x)} g(t) dt$, How could we find $f'(x)$?
4178
Solve $f(x)f(2x^2) = f(2x^3+x)$
41226
Find $f:f(xf(x)+f(y))=f(x)^2+y$