# Solving Simultaneous Equations

masej

## Homework Statement

I need to solve these two equations to obtain expressions for $X(t)$ and $Y(t)$

## Homework Equations

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

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

## The Attempt at a Solution

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

.. hows that? It gets rather messy .