When I apply the equations in phasor domain V1=jω(L1)(I1)±jωM(I2) and V2=jω(L2)(I2)±jωM(I1) and then mesh analysis should I consider the other mesh on the far right side with the capacitor? In other words, this is the first problem that I've seen or had such as this and since I2 is a combination of that mesh and I3 then I'm tempted to add that mesh, but I'm unsure if doing that is the correct way to go, I don't have the answer to the problem to go back and check my work against it. I thought about going into Multisim and trying to get an approximate answer to check my work against. I'm stuck... Thanks for your help and any advisement... 1. The problem statement, all variables and given/known dataSee the attached file for problem statement, given, and what to find. 2. Relevant equations V1=jω(L1)(I1)±jωM(I2) and V2=jω(L2)(I2)±jωM(I1) 3. The attempt at a solution I've found the maximum mutual inductance to be 2√2 H and I've found the coupling coefficient to be 0.707.