d^2x/dt^2 -10 dx/dt +34y =0
Im having difficulty with a question and wondered if you could point me in the right direction.
I have a damped oscillation with no external forces. Initial amplitude of the oscillation is 2mm when t =0 and initial velocity is 0mm/s
I need to determine the particular solution.
d^2x/dt^2 -10 dx/dt +34y =0
Aux Eq
m^2 -10m+34=0
m1=5+j6
m2=5-j6
I believe the roots are complex
y=e^5x (A cos6x + Bsin6x)
and this is where im not sure what to do next. If you could guide me through the next process I would be very grateful.
Kind Regards,
Carl

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