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Jan 2, 2015 at 18:21 comment added Fausto Vezzaro Thank you. Reflecting upon what you wrote I found that $\frac{ ( c \omega \sin ( \omega t ) + ( k-m {\omega}^{2} ) \cos ( \omega t ) ) F}{{ ( m {\omega}^{2}-k ) }^{2}+{c}^{2} {\omega}^{2}}$ is a particular solution of $m \ddot{x} + c \dot{x} + kx=F\cos(\omega t)$. The problem is virtually solved (if I'll write the complete solution in a decent form, I'll write here).
Jan 1, 2015 at 21:08 history answered Physicist137 CC BY-SA 3.0