- #1
andrewm
- 50
- 0
This isn't my homework: I'm doing some physics research and I'm stuck at a simple 2 equations. I want to solve these equations
[tex] A \cos(\gamma) \sinh(\theta) = \lambda - B \cosh(\theta) [/tex]
[tex] A \cos(\gamma) \cosh(\theta) = A \sin(\gamma) - B \sinh(\theta) [/tex]
I'd like to know if there's any way I can find [tex]\lambda[/tex] if I start with A and B known. I'd be happy to do this numerically, but I can't see how I would. I've tried monkeying with the algebra for a while.
All that my undergrad math tells me is that there should be a solution since there are 2 equations, 2 unknowns.
Is there any way I can solve this numerically, or approximate the solution by hand, or even show that there is a solution?
I'm stumped!
[tex] A \cos(\gamma) \sinh(\theta) = \lambda - B \cosh(\theta) [/tex]
[tex] A \cos(\gamma) \cosh(\theta) = A \sin(\gamma) - B \sinh(\theta) [/tex]
I'd like to know if there's any way I can find [tex]\lambda[/tex] if I start with A and B known. I'd be happy to do this numerically, but I can't see how I would. I've tried monkeying with the algebra for a while.
All that my undergrad math tells me is that there should be a solution since there are 2 equations, 2 unknowns.
Is there any way I can solve this numerically, or approximate the solution by hand, or even show that there is a solution?
I'm stumped!