In Problems y = c 1 e 3x + c 2 e x 2x is a

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In Problems y = c1e3x + c2ex  2x is a two parameter family of the second-order DE y''  2y'  3y = 6x + 4. Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

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

2. y (0) = 1, y'(0) = 3

3. y (1) = 4, y'(1) = -2

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

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