Recent content by arnold4life

Thats a good suggestion, I look into it. The thing is, I know that the solution to this system is a power law, and that the distance to the peak only relies on the constants which are 0.89, 0.1, and alpha^8.0. I got this from the numerical solution, but getting something this simple analytically...

beta (x=1000) = 0.000328129045, gamma = 0.965029518992, alpha = 0.527852167165

Hmm...didn't attach.

It's better to leave in those constants separately instead of combining them. If I'm after an analytical solution, there's probably only a solution for certain parameters or constants. I've attached a plot of beta. At x=1000, beta = 0.0003 and dbeta/dx is appoximately zero. From here, how can I...

It might not require Mathematica if some type linearization approximation can be made, but I'm not completely sure.

That would be great, thank you.

That came out correct.

Ok, here's the system with constants. I made an error before too, for some reason the preview post is acting up with latex. Second equation should be multiplied by 0.89 in the last term. And the last equation below should have a gamma on the right hand side...

Hello, I have numerically solved the system below: dalpha/dx = -beta/(c_1) dbeta/dx = -(c_2)*beta/(c_1)+(c_3)*gamma*dgamma/dx dgamma/dx = (c_4)*[alpha^(c_5)]/c_2 where c_1, c_2, etc. are specified constants. If one plots beta as a function of x, there's a peak. I would like to use...