I just tried using Laplace transforms but i get a slightly different solution. Almost the same. What method did you use?
well i got the answer few days ago, been busy lately but for the record im gonna post the answer..as usual if im wrong correct me plz...
so i got the general solution
then the general solution is:
now i gotta get the particular solution which i got with parameters variation method...
where and are unknown but according to the formula:
and the particular solution is:
now the initial values:
then the solution for the initial values is: