I have to try and solve the following simultaneous Laplace transform problem and don't really know which path to take can someone give me a nudge in the right direction please.(adsbygoogle = window.adsbygoogle || []).push({});

dx/dt=4x-2y & dy/dt=5x+2y given that x(0)=2, y(0)=-2

this is what i have so far for dx/dt=4x-2y

sx-x(0)=4x-2y

sx-2=4x-2y

(s-4)x+2y=2

And for dy/dt=5x+2y

sy-y(0)=5x+2y

sy+2=5x+2y

(s-2)y-5x=-2

Not really sure where to go from here, or even if this is correct.

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# Simultaneous Laplace transforms

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