Hello all.
I am studying a system and want to investigate how the frequency of y(3) varies under different conditions. However, my the fft I perform on it tells me the frequency is zero, which must be incorrect. I have tried a stack of things but can't see what the problem is. I'm relatively...
need to show
(1) A coth(2ax) - B cosech(2ax)= (A+B)/2 tanh(ax)+(A-B)/2 coth(ax)
starting from the RHS
(2) A/2 (1+tanh^2(ax))/tanh(ax) - B/2 cosech(ax)sech(ax)
(3) A/2 coth(ax) + A/2 tanh(ax) - B/2 cosech(ax)sech(ax)
from here i just starting going in circles
from line 2 i could have...
the exact statement is
A coth(2ax) + B cosech(2ax)= (A+B)/2 tanh(ax)+(A-B)/2 coth(ax)
i have tried using the double angle formulas but seem to be going in circles
Homework Statement
something like
A coth(2x) + B cosech(2x)= (A+B)/2 tanh(x)+(A_B)/2 coth(x)
the a's and b's may not be right but the trig is what's important
Homework Equations
anything
The Attempt at a Solution
im generating potentials, however the coulomb is proving tricky. stumbling block is finding a way to write
A coth(2x) + B cosech(2x)= (A+B)/2 tanh(x)+(A_B)/2 coth(x)
i am at the RHS and need to get the tanh to come out which I am told can be done.
the a's and b's might not be quite right...
Homework Statement
im trying to solve this integral, though it is solvable using mathematica the solution is horrible. wondered if anyone has any cunning tricks or ideasHomework Equations
integral between \int_{-\sqrt{E}}^\sqrt{E} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi