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5. All parts of this question refer to the IVP y' = (x + 1)y , y(xo) = yo. [5] a) For which initial points

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5. All parts of this question refer to the IVP y' = (x + 1)y , y(xo) = yo. [5] a) For which initial points (x0, yo) does Picard's Theorem guarantee the existence of a solution? [5] b) For which initial points (xo, yo) does Picard's Theorem guarantee the existence of a unique solution? [10] c) Find two distinct solutions to the IVP y' = (x + 1)y , y(1) = 0

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