I should solve the following DAE system: $$\ddot{x}(t)=-\alpha y(t)$$ $$\ddot{y}(t)=\beta x(t)$$ with the conditions: $x(t)\ge0$, $y(t)\ge0$ and $x(t)+y(t)=N$ with $N\gt 0$. I'm able to solve the system, but I don't know how put the constrains. Thanks.
2026-03-25 21:48:57.1774475337
Solution of a DAE system of two ODE of second degree
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