[17] For each of the following equations, • find general solutions; • solve the initial value problem with initial condition y(0) = –1, y'(0) = 2; • sketch the phase portrait, identify the type of each equilibrium, and determine the stability of each equilibrium. (a) 2y" + 9y' + 4y = 0 (d) 2y" – 3y' = 0 (g) 9y" + 6y' + y = 0 (b) y" + 2y' – 8y = 0 (e) y" – 2y' + 5y = 0 (c) 4y" – 12y' + 5y = 0 (f) 4y" + 9y = 0 %3D -

[17] For each of the following equations, • find general solutions; • solve the initial value problem with initial condition y(0) = –1, y'(0) = 2; • sketch the phase portrait, identify the type of each equilibrium, and determine the stability of each equilibrium. (a) 2y" + 9y' + 4y = 0 (d) 2y" – 3y' = 0 (g) 9y" + 6y' + y = 0 (b) y" + 2y' – 8y = 0 (e) y" – 2y' + 5y = 0 (c) 4y" – 12y' + 5y = 0 (f) 4y" + 9y = 0 %3D -

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 12CR

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