Question: In Problems y = c 1 e x + c 2 e -x is a two-parameter family of solutions of the second-order DE y'' -y

In Problems y = c₁e^x + 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.

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

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

3. y(-1) = 5, y'(-1) = -5

4. y(0) = 0, y'(0) = 0

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