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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.
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Feasibility of constrained multivariable diophantine equations
Let $d$ be day, $m$ be month and $y$ be year fields of a date. I want to find few dates of format
$$(d^2\, mod\,\, 2 + (my + d^3) \,mod \,4) = 2$$
Is there a method to solve this type of equation or …
1
vote
Feasibility of constrained multivariable diophantine equations
Note: I am answering my own question
According to Hilbert's tenth problem, there exists no general algorithm to say whether there exist integer solutions for a given Diophantine equation or not.