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Q2- Use Taylors method of order n=2 to estimate y(1.3) when solving the IVP: y - y2 – x2 = 1 , 0 SX S1, y(0) = 1 Take h = 0

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) =) 0-0- os asi; glos- h=0.1 ? It gia Otom Expand o f(mig) in terms of its second Taylon polynomial about ni glit) Jemi) thg2 - you 1) = 1,22 •2) -W, + 1 (1+m+wi?) + mit wi twin ²+63 ) 0.01 1.22 + 0.1 +10.122+ (1.22)2 ) + 0:01 (0.1 + 1.22 + 102 210-

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