29_pdfsam_math 54 differential equation solutions odd

29_pdfsam_math 54 differential equation solutions odd -...

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Exercises 1.4 for n =1, t 2 = t 1 +0 . 1=0 . 2 ,T 2 = T 1 . 1(70 T 1 )=97+0 . 1(70 97) = 94 . 3; for n =2, t 3 = t 2 . . 3 3 = T 2 . 1(70 T 2 )=94 . 3+0 . 1(70 94 . 3) = 91 . 87 . Table 1–C : Euler’s method approximations for the solutions of T 0 = K ( M T ), T (0) = 100, with K M = 70, and h =0 . 1. n t n T n n t n T n 0 0.0 100.00 11 1.1 79.414 1 0.1 97.000 12 1.2 78.473 2 0.2 94.300 13 1.3 77.626 3 0.3 91.870 14 1.4 76.863 4 0.4 89.683 15 1.5 76.177 5 0.5 87.715 16 1.6 75.559 6 0.6 85.943 17 1.7 75.003 7 0.7 84.349 18 1.8 74.503 8 0.8 82.914 19 1.9 74.053 9 0.9 81.623 20 2.0 73.647 10 1.0 80.460 By continuing this way and rounding results to three decimal places, we Fll in Table 1-C.
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