Prove there exists a constant $C$ such that $y_2(x)=Cy_1(x)$.
58329
Show that $y_1$ and $y_2$ are not Linearly Independent
63836
Show there exists $g:(0,1)\to\mathbb{R}^2$ such that $h\circ g$ constant, $g$ continuously differentiable and $g$ injective
107774
Prove $\|x\|_1\le \sqrt n \|x\|_2$
66283
Let V be a vector space. If every subspace of V is T-invariant, prove that there exist a scalar multiple c such that T=c1v
105172
Prove that the entire function is constant over certain conditions.
149399
Given continuous $f$ and $g$, there exists $c \in (a,b)$ such that $\int_{a}^{c} f(x) \ \mathrm dx = \int_{c}^{b} g(x) \ \mathrm dx$
105700
Proving $\,f$ is constant.
63255
Proving an entire, complex function with below bounded modulus is constant.
6582
Prove the existence of the square root of $2$.
20281
Easiest way to prove that $2^{\aleph_0} = c$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
70304
Prove there are $\xi$, $\eta$ with $f'(\xi)f'(\eta)=1$
3818
Proving two entire functions are constant.
56413
$f(g(x))=g(f(x))$ implies $f(c)=g(c)$ for some $c$
130916
Proving the identity functions is continuous iff $\tau_1\supseteq\tau_2$
1821
Proving $f(C) \setminus f(D) \subseteq f(C \setminus D)$ and disproving equality