Figure 1.5.8 shows a slope field and typical solution

Chapter , Problem 44

(choose chapter or problem)

Figure 1.5.8 shows a slope field and typical solution curves for the equation y0 D x C y. (a) Show that every solution curve approaches the straight line y D x 1 as x ! 1. (b) For each of the five values y1 D 10, 5, 0, 5, and 10, determine the initial value y0 (accurate to five decimal places) such that y.5/ D y1 for the solution satisfying the initial condition y.5/ D y0. 0 x

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