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## Homework Statement

Ok basically we have two identical coupled pendula - each of length l with bobs of mass m connected by spring with spring constant k.

so I've shown the eqns of motion are mx'' = -mgx/l + k(y-x) and my'' = -mgy/l - k(y-x)

The question says: By looking for solutions where x and y vary harmonically at the same angular freqency w, convert these differential equations into two ordinary simultaneous equations for the amplitudes of oscillation X and Y.

Then it says why do you not expect these eqns to determine the absolute values of X and Y

## Homework Equations

## The Attempt at a Solution

So I think I know the answer to the second q - we lack initial conditions, which are necessary to find absolute values of X and Y..

Im just not sure how to convert the two DEs into ordinary simulateous eqns for X and Y

Thanks!