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# Couple Differential Equations watch

1. Hi i'm having trouble solving these coupled differential equations... Could you help me out please?

many thanks
2. Differentiate one with respect to t and sub in the other one to get an ODE
3. thank you, i had considered that. however the question requires me to eliminate y and

first and then solved the second order odes that follow any ideas?
4. so. I've differentiated the first one again and substituted the second one into it giving me:

the characteristic equation being:
m^2+2m-2=0

m=-1+-sqrt3

what do i do after finding the particular integral?
5. Same as normal I would assume, let x = pcost + qsint then differentiate twice and substitute in to find p and q.

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