I'm supposing I have the following $n$th order differential equation:
$F^{(n)}(y) + F(y) = c$
Say that I have $F(0)$, F'(0), etc., and $c$. What is the easiest way to solve the equation? I'm really wondering if there are shortcuts to solving simple, higher order differential equations. The equation above is an excellent example of what I'll be working with most.
Also: Note that you may assume that $c$ takes on an ideal value if it helps.