(1) Typically, you take your guess from the form of f(x).
(2) I would use the standard integrating factor method for solving this equation. The integrating factor is just so you'd get the following:
I'm trying to recall the basics of ODEs, I'm using that in my systems course. Suppose, we have an equation:
The solution would be 2 contributions, the solution to the homogenous equation and the particular solutions, now my questions are:
(1) Does the particular solution have to be of the form ?
(2) Take to be the unit step function , what would then the solution be?
Thanks for the help?