Analysing System of Equations: 2kx2 + kx1 = mx2 & 2kx1 + kx2 + kXocos(wt) = mx1

[LCSphysicist]

Homework Statement

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Relevant Equations

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Well, i think the important here is the system, what you think about?:

-2kx2 + kx1 = mx2''
-2kx1 + kx2 + kXocos(wt) = mx1''

After this, is just solve, i found:

x2 = (k*xo*cos(wt)*(4k/m - 2w²))/(2m*(k/m - w²)*(3k/m - w²))

The cool is that if we put w equal the two normal frequency x2 tends to infinity (so resonance in this case)

about x1 i will solve later, but before i want to know if at least the system is right

 

[haruspex]

I agree with your ODEs.