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a b s t r a c tIn this paper, first we introduce, briefly, pseudo-spectral method to solve linear Ordinary Differential Equations (ODEs), and then extend it to solve a system of linear ODEs and then Differential-Algebraic Equations (DAEs). Furthermore, because of appropriate choice of Chebyshev-Gauss-Raudo points we will show that this method can be used to solve a DAE whenever some coefficient functions in constraint are not analytic by providing some numerical examples.

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