Proving $x=2,y=4$ is the only solution to $x^y=y^x$
5595
$x^y = y^x$ for integers $x$ and $y$
88036
Prove that if $p \equiv 3 \pmod{4}$ then $x^2+y^2 \not \equiv 0 \pmod{p}$
125707
A simple proof (hopefully) for $2^x \neq 0$
143194
How would you solve the diophantine $x^4+y^4=2z^2$
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
73073
Differentiating $y=x^{2}$
148570
Find the all possible real solutions of $x^y=y^x$
69172
$y'=$ ${-x+\sqrt{(x^2+4y)}}\over 2$ , $y(2)=-1$
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
20626
Prove that $x^y < y^x$
25078
What is the solution set for the equation$ x ^ y = y ^ x$ in positive real numbers, x not equal to y?
108801
Given that $xyz=1$, prove that $\frac{x}{1+x^4}+\frac{y}{1+y^4}+\frac{z}{1+z^4}\le \frac{3}{2}$
95913
Solve for $x$: $2^x=4x$
63689
proving roots of equation $x^2+x+4f=0$ are real.
20491
How to solve this equation $x^{2}=2^{x}$?
75206
If $a$, $a+2$ and $a+4$ are prime numbers then, how can one prove that there is only one solution for $a$?