For the particular integral try
Hello, I am having some trouble with these second and third order non-homogeneous dq's.
I can identify a Y compliment, but I freeze up when I have to distinguish the Y particular.
ex 1) Solve:
y'' - y' = 11x + 1
(D^2 - D)y = 0
D(D-1)y = 0
Roots: D= 0, 1
Yc = c1 *e^0x + c2 *e^x = 1 + c2 *e^x
Now this is where I get lost... I can ID Yc but not Yp. Please help! Thanks!