Figure 1.5.8 shows a slope field and typical solution curves for the equation . (a) Show that every solution curve approaches the straight line y= -x - 1 as x goes to negative infinity. (b) For each of the five values y sub1 = -10, -5, 0, 5, and 10, determine the initial value (accurate to five decimal places) such that y(5) = y sub1for the solution satisfying the initial condition y(-5) = y sub0. Image: Slope field and solution curves for y' = x + y

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