What is the transfer function of this system of differential equations?

$2\frac{d^2y_1(t)}{dt^2} + 2\frac{dy_1(t)}{dt} + 1+2y_1(t) - 2\frac{dy_2(t)}{dt} = 0 $
$2\frac{d^2y_2(t)}{dt^2} + 2\frac{dy_2(t)}{dt} - 2\frac{dy_1(t)}{dt}=f(t)$

Where f(t) is the input
and y_2(t) is the output

I previously tried to find the transfer function by first applying Laplace transform, then substituting Y_1(s) in terms of Y_2(s) into the second equation and rearranging. The transfer function I found using this method was 4th order, had a ^-1 term in the denominator and just didn't look right to me.

If anyone can tell me what the transfer function should look for this system it would be greatly appreciated.
Ordinary Differential Equations
Isaac 210 Isaac 210
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  • Daniel90 Daniel90
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    Your offered bounty is too low. It would take at least 30 minutes to write a good solution for this problem.

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