For the particular integral try
Bobak
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
Ycompliment -
(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!
It is not guessing at all. From the differential equation it should be obvious that the particular integral is a polynomial, in which case all you need to determine is the order of the polynomial, Can you explain why such a polynomail for this differential equation must have a zero ceofficient on any terms higher than ?
Bobak