Good library for solving differentiation equations (not only 1rst order) using differentiation operator?Better written in C/C++/PHP/C#/Actionscript/Javascript ...
What is the most efficient way to solve system of equations involving the digamma function? I have a vector v and I want to solve for a vector w such that for all i: digamma(sum(w)) - digamma(w_i) = v_i and w_i > 0 I found the gsl function gsl_sf_psi, which is the digamma function (calculated using some kind of series.) Is there an...
I have confronted an equation containing Bessel functions of the first type on one side and modified Bessel functions of the second type on the other. I want to know its exact solutions (values of u). The equation is as follows: u*besselj(s-1,u)/besselj(s,u)=-w*besselK(s-1,w)/besselk(s,w) where s is an arbitrary integer number, for ex...
Hi. I have following equation: f(N): N = ((1+lam)^3 )/ ((1-lam)*(1+lam^2)); I need to create a function that finds lam for specified N. Right now I'm doing it using simple loop: lam = 0.9999; n = f(lam); pow = 0; delta = 0.1; while(abs(N - n)) > 0.1 & pow < 10000) lam = lam - 0.001; n = f(lam) pow = pow+1; end How c...