I have a matrix which doesn't include numerical values. There are four variables in it. It is defined by
M1 = ({
{κ0 BesselJ[m, κ0 R],
q BesselI[m, q*R],
q1 BesselK[m, q1*R],
q2 BesselK[m, q2*R]},
{((F1 /. L -> L1) - E1 + N1*κ0^2)*BesselJ[(m + 1), κ0*R],
((F1 /. L -> L1) - E1 - N1*q^2)*BesselI[(m + 1), q*R],
-((F1 /. L -> L2) - E1 - N1*q1^2)*BesselK[(m + 1), q1*R],
-((F1 /. L -> L2) - E1 - N1*q2^2)*BesselK[(m + 1), q2*R]},
{κ0^2 BesselJ[(m + 1),
κ0*R], -q^2 BesselI[m + 1, q*R],
q1^2 BesselK[(m + 1),
q1*R], q2^2 BesselK[(m + 1), q2*R]},
{((F1 /. L -> L1) - E1 + N1*κ0^2) κ0*BesselJ[m, κ0*R],
((F1 /. L -> L1) - E1 - N1*q^2) q*BesselI[m, q*R],
((F1 /. L -> L2) - E1 - N1*q1^2) q1*BesselK[m, q1*R],
((F1 /. L -> L2) - E1 - N1*q2^2) q2*BesselK[m, q2*R]}
});
Det[M1] = 0
I want to get the formula for E1 in terms of the other variables and constants. I used Solve
, but it didn't work. Can anyone please help me? Really appreciated.