What Values of C Cause Resonance in a Linear System with Given Solutions?

[lukepeterpaul]

Hi,
Say if the complementary solution to a linear system is
A(coswt, coswt-wsinwt)+B(sinwt, wcoswt+sinwt)
and the forcing term is (coswt, coswt-Csinwt), where C is constant
How do I tell whether for what values of C is resonance going to occur?
Thanks!

 

[HallsofIvy]

Resonance will occur for any value of C. It is the "w" that is important, not C.

 

[lukepeterpaul]

Thanks, HallsofIvy. :)