Homogeneous equation:
rh = C1 et + C2 t et + C3 t2 et
Variation of parameters:
r = C1 et + C2 t et + C3 t2 et
 |
(1) |
 |
(2) |
Into the O.D.E.:
 |
(3) |
Total system of equations for unknowns 
,
, and 
:
Forward elimination:
Back substitution: 
, 
, 
,hence
Total solution:
