I have this circuit which I need to solve using Laplace transforms. How would the KVL equations look? I am having trouble with them because of the mutual inductance. Thanks in advance.

http://i1226.photobucket.com/albums/...cuitMutual.jpg

 

I have this circuit which I need to solve using Laplace transforms. How would the KVL equations look? I am having trouble with them because of the mutual inductance. Thanks in advance.

http://i1226.photobucket.com/albums/...cuitMutual.jpg

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Here it is

 

This circuit is annotated as a frequency domain AC circuit. One would normally solve this by conventional steady-state AC circuit theory methods using Kirchoff.

Using the Laplace Method - The source would be a sine or cosine (?) function which you are unable to transform to the 's' domain without knowing the source frequency. I suppose you could choose an arbitrary base frequency and re-scale the energy storage components back to their appropriate values.

My take on this is that if you can solve it using conventional AC analysis you would be able to apply Laplace method - notwithstanding the aforementioned caveats. If you can't do that then you won't be able to apply Laplace anyway.