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: