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I'm studying from G.Teschl ODE & Dynamical system and I got stucked at problem 3.20, which is:

Find a formula for the Wronskian $W(x,y)=\dot xy-\dot yx$ of the autonomous system $\ddot x + c_{1}\dot x + c_{0}x$.

I know I can find the characteristic polynomial $\lambda^{2}+c_{1}\lambda+c_{0}=0$ where the can be calculated and that way try to find explicits solutions. But I don't think that's what is wanted where.

Thanks so much for your answers <3