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2. Numerical treatment of a system of algebraic-differential equations
2.1 Characterization of systems of algebraic-differential equations: the index concept
On the pendulum example with the
(5)
form of the equations, two successive derivations of the linking equation yield the canonical first-order system. This system is always algebraic-differential, since the derivative of λ is not present in these equations. If we now introduce the expressions for the derivatives
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Numerical treatment of a system of algebraic-differential equations
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