Solve : y''' + y'' + y' = 8(x2+2x+2)
The DE ...
(1)
... has 'characteristic polynomial' ...
(2)
... and its roots are , . The 'general integral' of the 'incomplete equation' is then...
(3)
It is easy to verify that also satisfies (1) so that the general integral of (1) is...
(4)
Kind regards