Hi everyone,
I should solve an equation which is as follows:
a(1-cos(wx))+bx=z
(a,b,w,z) are parameters.
I want the answer of x, but I cant find it anywhere,
It would be a great help if you can solve it,
Sincerely,
This is a way:
Manipulate[ Quiet@Reduce[ a (1 - Cos[w x]) + b*x == z && Abs[z - b*x] <= 2 Abs[a], x, Reals], {a, -5, 5}, {b, -5, 5}, {w, -5, 5}, {z, -5, 5}]
The equation is trascendental. I don't think you can find an explicit formula, and often there is more than one solution.