how to numericaly solve 2 second order homogenous non linear equation in matlab using ode45

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Hi every one I want to solve a system of second order ODE equation shown below using ode45.but I have no idea how to solve it.Can anybody help me with that. thanks.
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Yu Jiang
Yu Jiang on 6 Aug 2014
It seems that the initial condition is exactly the equilibrium of the system. So, the solution would simply be zeros. Can you confirm if the initial condition is correct?

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