their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu- tions that satisfy y(1) = 3 and y(1) = 1 respectively. (a) y' (t) = y/2-1, (b) y' (t) = −y/2+1 (a) Which of the previous two differential equations in Problem 1 has unstable (divergent) solutions? Solve it, and show the expressions of two curves that you draw in the divergent direction field.

their direction field in the (t, y)-plane. Moreover, on each direction field, draw two solu- tions that satisfy y(1) = 3 and y(1) = 1 respectively. (a) y' (t) = y/2-1, (b) y' (t) = −y/2+1 (a) Which of the previous two differential equations in Problem 1 has unstable (divergent) solutions? Solve it, and show the expressions of two curves that you draw in the divergent direction field.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 16CR

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