In Problems 11, 12, 13, and 14, y = cie" + c2e is a two-parameter family of solutions of the second-order DE y" – y = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 11. y(0) = 1, 3/(0) = 2

In Problems 11, 12, 13, and 14, y = cie" + c2e is a two-parameter family of solutions of the second-order DE y" – y = 0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions. 11. y(0) = 1, 3/(0) = 2

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 14CR

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Question

in Problems 11, 12, 13, and 14, y=c1ex+c2e-x is a two-parameter family of solutions of the second-order DE
y″-y=0. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

11. y(0)=1, y'(0)=2

Please explain each step, so I can use them as a study guide