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

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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.

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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