How can we solve $y^2=x^3+23$ without trial and error?
9542
Integer solutions for $x^2-y^3 = 23$.
90739
Linear diophantine equation $100x - 23y = -19$
88333
Find all integral solutions of $y^2=x^3+7$
82016
Given $p^2+q^2+r^2+1=s+\sqrt{p+q+r-s}$, solve for $s$
2027
How can I solve the folowing Diophantine equation with two unknowns?
148570
Find the all possible real solutions of $x^y=y^x$
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
35504
The Diophantine equation $x^2 + 2 = y^3$
23112
Solving an equation with rational expressions (step by step)
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
78719
Solve the DE $yy^{\prime}+x=\sqrt{x^2+y^2}$
70692
Solve $x^2+2=y^3$ using infinite descent?
43537
How can $x^2y''-3xy'+3y=0$ be solved?
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
131941
Solve quadratic congruences.
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
22004
Inverse of $y = x^3 + x $?