Page 192 - Schaum's Outline of Differential Equations
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CHAP. 18] GRAPHICAL METHODS FOR SOLVING DIFFERENTIAL EQUATIONS 175
18.25. Draw a direction field for the equation y' = 2x.
18.26. Describe the isoclines for the equation in Problem 18.25.
18.27. Draw a direction field for the equation y' = y — 1.
18.28. Describe the isoclines for the equation in Problem 18.27.
2
18.29. Draw a direction field for the equation y' = y - x .
18.30. Describe the isoclines for the equation in Problem 18.29.
18.31. Draw a direction field for the equation y' = sin x - y.
18.32. Describe the isoclines for the equation in Problem 18.31.
18.33. Find y (1.0) for/ = -y;y(G) = 1, using Euler's method with h = 0.1.
18.34. Find y (0.5) for / = 2x; y (0) = 0, using Euler's method with h = 0.1.
18.35. Find y (0.5) for / = -y + x + 2; y (0) = 2, using Euler's method with h = 0.1.
3
18.36. Find y (0.5) for y' = 4.x ; y (0) = 0, using Euler's method with h = 0.1.
