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Use the improved Eulers method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use
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Saly Given differential eqh - y = 4 H-74 (U 40 (2) 2 e Range method of ſe; 466.) yo Eulers Modified Method an kutta y* = Ynt11 => Y - 2+(01) [ uxo - 74.] = 2 4 601) [4(0)-761] 2+ (6.1) [-14 2-1.4 = 0.6 → 4 = 4 + $ (5(4.,4.) + f(1,48) ] 0,1 [46) - 7(2 = + 0.3 = 0. 3 = 2 +35 Put na 2 y = 4 + hf (2, 42 ) 11 = 0.2753 (0.6510 ) + (6.1)[4 (02) -7 (0.656)] = (0.6510 ) + (0) (1.10.3748 مكم (6. 4268) + (0.05)(-1.036] (0.4268) - 0.052 Hy = Hot 5 h = 0+ 5 (6.1) = 0.5 but na 4 in (4) y Yathf (HA, YA (1.37445-4 [ f(m, Ha) + 4(15,4%)] (0.3748) + @[4(04) - 7 (1.3748) + 4 +4 (05) -1 (6.74 = (6.3748) + (0.05) [ 1.6 -2.62 36 +2.0 -1.92 (0.5) = 0.1 = Hot 2h 0 + 2 (0.05) Put nel in (*) = 4, + hf (2, 4) a = (1.4275) + (0.05) (4 (0.05) --7 (1.4275) = 1.4275 + (

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