Hello I really need help in understanding operators: the best way would be to show me how to solve:

Thank you!Quote:

y''-y'-2y=e^(x)

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- Dec 5th 2010, 07:54 PMdeltafeeOperators
Hello I really need help in understanding operators: the best way would be to show me how to solve:

Quote:

y''-y'-2y=e^(x)

- Dec 5th 2010, 08:18 PMTheEmptySet
What exactly do you need to know. It can be rewritten as

This can be factored as

So the homogeneous system has solutions

because and

because

So it has the complimentary solution

Now we can solve the original

by annihilating the right hand side with since

since that factor is not repeated the particular solution has the form