Question: Solving a system of linear equations

I need help solving a set of linear equations in terms of the variables. I have:

x1''(t) - 3/85 * sin(wt) = -2k1 + k2

x2''(t) = k1 - 2k2 + k3

x3''(t) = k2 - 2k3 + k4

x4''(t) = k3 - 2k4 + k5

x5''(t) = k4 - k5

 

I want to solve this system for k1..k5 in terms of x''(t) and sin(wt). How do I do this? I am so lost!

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