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.
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