Page 183 - Schaum's Outline of Differential Equations
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166 GRAPHICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS [CHAP. 18
Fig. 18-11 (cont.)
18.12. Find y(l) for y' = y — x; y(0) = 2, using Euler's method with
For this problem, X Q = 0,y Q = 2, and/(X y) = y — x; so Eq. (18.5) becomes y' n = y n- x n. Because h = ^,
Using Eq. (18.4) with n = 0, 1,2,3 successively, we now compute the corresponding y-values.