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Question 4 (1 mark) Attempt 1 Estimate the solution of the following first order autonomous system at t-1.2 using two steps of Eulers method with step-size h 0.1 Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answers as five decimal digit numbers; for example 3.17423. YOU DO NOT HAVE TO ROUND YOUR FINAL ESTIMATES.
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Given sy stem is Given initial concitions are Also given h 0.1 Tofindu (12).2(1.2) ByusingEulersformula wehave Put n = 1in (α)we get =-14(0.1)(3) =-0.7 -0.7 #3+ (0.1)(wo) y=31 -I+(01)(m +2%-2%) = 1.3 1.3 Put n-2in(a),weget =-039 -0.39 -3.23 V23.23 v(12) = 3.23 = 1.34(01)(q +2;-2 13+(0-07+2(31)-2(13)] = 1.59 ng-1.59 w(12) = 1.59 Hence a(1 2) =-0 39. v(1 2-3 23, w(1 2) = 1 59

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