Problem finding the equations (theoretical electronics)

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The discussion revolves around the challenge of formulating equations for transition processes in theoretical electronics. The user has created schematics but struggles to develop a system of equations for matrix analysis to find the determinant. Respondents note that the provided schematic image is unclear, hindering assessment of its accuracy. Additionally, they emphasize the importance of showing initial attempts at writing mesh equations to facilitate assistance. Clear communication of these elements is crucial for effective problem-solving in this context.
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OK, so this is one of the problems I need to solve. I have made the schematics for the two cases and now I need to do the transition processes, meaning I have to make a system of equations, that will be used as a Matrix, so I can figure out the determinant (that's how we call them in our language, not sure if these are their names in English). From then on I can solve this, but I can't figure out the equations.
Can anyone help?
 

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The picture of your transition schematic is truncated, so we cannot judge if it is correct. Also, you need to show some attempt at writing the mesh equations before we can see how to help you.
 

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