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## Homework Statement

I need to solve these two equations to obtain expressions for [itex]X(t)[/itex] and [itex]Y(t)[/itex]

## Homework Equations

[1]. [tex]\frac{d(X(t))}{dt} = Q \cdot Y(t)[/tex]

[2]. [tex]\frac{d(Y(t))}{dt} = -Q \cdot X(t)[/tex]

## The Attempt at a Solution

Perhaps rearrange equation [1] to get in terms of [itex]Y(t)[/itex] then input this into expression into equation [2] to get equation ([3]) just with [itex]X(t)[/itex] terms. Then solve [3] to find [itex]X(t)[/itex] and input this back into equation [1].

.. hows that? It gets rather messy .