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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
4
votes
1
answer
212
views
Solving a trigonometric equation with discrete solutions
So I know that trigonometric equations show up here very often, but this one is particularly difficult and important to me, so that I was hoping to get some valuable hints from people who know more ab …
1
vote
2
answers
230
views
Numerically solving an algebraic equation
I have asked a similar question earlier, but I am still stuck at the same problem. I would like to solve an algebraic equation of the form
Tan[d*Sqrt[-k^2 + w^2*(1 + (1 - w^2)^(-1))]] ==
Sqrt[k^2 - …
3
votes
2
answers
625
views
Solving an equation approximately
I have a complicated equation in terms of $\omega$ and $\kappa$:
Tan[Sqrt[-κ^2 + ω^2*(1 + (1 - ω^2)^(-1))]/2] ==
(ω^2*Sqrt[25 + κ^2 - ω^2]*(-2 + ω^2))/((25 - 26*ω^2 + ω^4)*Sqrt[(κ^2 - 2*ω^2 - κ^2*ω …