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## Homework Statement

Hi guys , I have this problem ,well actually I don't understand the solution they provide , Here's the problem statement and the solution .

May someone please explain the solution to me?? Thanks so much, Sorry for my bad english

## Homework Equations

1.I understand that f'-af=0 and the kernel is the space of the solutions that satisfy that equation but I don't get what they do after that...why do they divide f(t) by e^(at)?

2. why do they conclude that exists a constant c such that f(t)=ce^at??