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If x1(t) and x2(t) are solutions to the differential equation x"+bx'+cx = 0 1. Is x=...

If x1(t) and x2(t) are solutions to the differential equation

x"+bx'+cx = 0

1. Is x= x1+x2+c for a constant c always a solution? (I think No, except for the case of c=0)
2. Is tx1 a solution? (t is a constant)

I have to show all works of the whole process, please help me!

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