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Consider the IVP : X = 3t x Xlol = 1. 2 (i) use the mathematical induction to shows that the Picard sequence Exactly In=,

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Consider the IVP : X = 3t x Xlol = 1. 2 (i) use the mathematical induction to shows that the Picard sequence Exactly In=, with xolt) = 1 is given by X (+ ) = 1 + 3 K n= 1 , 2 , ".. K-D K ! ( ii ) Find act ): = Lim Xult ) . Verify that x 4 ) is the sol of the IUP

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