Figure 1.5.8 shows a slope field and typical solution curves for the equation y' = x +
Question:
Figure 1.5.8 shows a slope field and typical solution curves for the equation y' = x + y.
(a) Show that every solution curve approaches the straight line y = - x - 1 as x → - ∞.
(b) For each of the five values y1 = -10, -5, 0, 5, and 10, determine the initial value y0 (accurate to five decimal places) such that y(5) = y1 for the solution satisfying the initial condition y(-5) = y0.
Transcribed Image Text:
10 8 6 4 2 -2 -4 -6 -10 -5 11 /// 7/1 /T 0 1 11 11 1/11 5 FIGURE 1.5.8. Slope field and solution curves for y' = x + y..
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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