Figure 9.21 is the slope field for the equation y = x+y. (a) Sketch the solutions that

Chapter 9, Problem 5

(choose chapter or problem)

Figure 9.21 is the slope field for the equation y = x+y. (a) Sketch the solutions that pass through the points (i) (0, 0) (ii) (3, 1) (iii) (1, 0) (b) From your sketch, guess the equation of the solution passing through (1, 0). (c) Check your solution to part (b) by substituting it into the differential equation. 4 4 4 4 x y Figure 9.21: Slope field for y = x + y

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