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English translation. (i) Does the right-hand side satisfy the conditions of Picard's theorem? (ii) Starting with the approximate solution y (1)(t) = y0 = 1,

English translation. (i) Does the right-hand side satisfy the conditions of Picard's theorem? (ii) Starting with the approximate solution y (1)(t) = y0 = 1, compute iterates y (2) and y (3) . (iii) Use the techniques seen in class to calculate the exact solution

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QUESTION 4 ( pts). Iteration de Picard On considere le PVI y' = f(t, y) = sin(t)y?, y(0) = 1. (i) Est-ce que le membre de droite satisfait les conditions du theoreme de Picard? (ii) En commencant avec la solution approchee y ) (t) = yo = 1, calculer les iteres y(2) et y(3). (iii) Utiliser les techniques vues au cours pour calculer la solution exacte

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