#y''+9y=0#, #y_1=sin3x# by using reduction of order method how can I solve this equation?
2 Answers
See below.
Explanation:
substituting we get
but
but using the de Moivre's identity
and assuming that the solution is real, we easily could establish analogously
Explanation:
If
Hence,
It reduced to linear differential equation in terms of
Consequently,
After integrating both sides,
After integrating both sides,
Thus,
=
=