Page 179 - Schaum's Outline of Differential Equations
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162 GRAPHICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS [CHAP. 18
18.6. Draw three solution curves to the differential equation given in Problem 18.4.
A direction field for this equation is given by Fig. 18-5. Three solution curves are shown in Fig. 18-7, the top
one passes through (0, 1), the middle curve passes through (0, 0), and the bottom curve passes through (0, -1).
Observe that each solution curve follows the flow of the line elements in the direction field.
Fig. 18-6
Fig. 18-7
