Hello I really need help in understanding operators: the best way would be to show me how to solve:
Thank you!y''-y'-2y=e^(x)
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