In this problem, y = c,ex + c,e-X is a two-parameter family of solutions of the second-order DE y" - y = 0. Find c, and c, given the following initial conditions. (Your answers will not contain a variable.) y(1) = 0, y'(1) = e C, = Cっ = Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. y =

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
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In this problem, y = c,ex + c,e¬× is a two-parameter family of solutions of the second-order DE y" – y = 0. Find c, and c, given the following initial conditions. (Your answers will not contain a variable.)
y(1) = 0, y'(1) = e
C, =
C, =
Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.
y =
Transcribed Image Text:In this problem, y = c,ex + c,e¬× is a two-parameter family of solutions of the second-order DE y" – y = 0. Find c, and c, given the following initial conditions. (Your answers will not contain a variable.) y(1) = 0, y'(1) = e C, = C, = Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. y =
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