How do I go about finding some $f(x)$ that satisfies the following first-order DE?
86548
First-order trigonometric differential equation
105497
A function satisfying a series equation
121381
Finding solution of non linear DE $x\ddot{x}-\dot{x}^2=1$
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
12556
A non-trivial, non-negative, function bounded below by its derivative with $f(0)=0$?
135577
Prove the existence of $c$ such that $f'(c) = 2c(f(c) - f(0))$
54321
Questions about $f: \mathbb{R} \rightarrow \mathbb{R}$ with bounded derivative
96022
Symmetry of second derivative - Sufficiency of twice-differentiability
155655
Applying MVT and IVT (?) to show something about f'''? (edit: actually, Taylor's Theorem using Lagrange remainder)
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
85535
Finding maximum of $|f'(i)|$
111756
How do I prove that then $f(x) = 1$ for some $x ∈ [0, 1]$?
150005
Existence of points in a differentiable function
146152
Characterising functions $f$ that can be written as $f = g \circ g$?
85085
Simplifying the derivative of $|x|$
28286
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$